PLEASE HELP I WILL GIVE 20 POINTS

Function g can be thought of as translated (shifted) version of f(x)=x^2

Answers

Answer 1

g(x) is left 2, up 1 from f(x). So, g(x)=f(x+2)+1. Or, you can say g(x)= (x+2)^2 + 1.

Related Questions

Josh and Bella picked apples from a tree. Josh had 3 less than 2/3 of Bellas apples. If Josh had 7 apples, how many apples did Bella have?

Answers

Answer:

Bella had 15 apples

Step-by-step explanation:

First, you see that Josh has 3 less than 2/3 of Bellas apples. If Josh has 7 apples you would add 3 to 7 which = 10. Assuming that 10 = 2/3 of Bellas apples, then you would subtract half of 10 and get 5. 1/3 = 5 apples. Lastly, you should do 5 * 3 which = 15. Bella had 15 apples.

Question 10(Multiple Choice Worth 1 points)
(04.02 LC)
Solve the system of equations using substitution.
y = -2x + 1
4x + 2y = -3

Answers

Answer:

no solutions

Step-by-step explanation:

[tex]4x + 2(-2x+1) = -3\\4x-4x+2 = -3\\2 = -3\\[/tex]

this means there are no solutions.

When Manny goes on vacation, he boards his dog at a kennel. The kennel charges a flat fee
of $25, plus $15.50 per night.
Write an equation that shows how the cost of a kennel stay, y, depends on the number of
nights, x.

Answers

Step-by-step explanation:

y = 25 + 15.5x

it's $25 plus the number of nights times $15.5 per night

Find the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8). ( x - 1) 2 + ( y - 4) 2 = 25 ( x - 4) 2 + ( y - 1) 2 = 25 ( x - 1) 2 + ( y - 4) 2 = 5

Answers

Answer:

(x-1)^4 + (y-4)^2 = 25

Step-by-step explanation:

Center at 1,4 means the circle is of the form:

(x-1)^4 + (y-4)^2 = r^2

Find r^2 using distance formula from center to the given point

r ^2 = ( 8-4)^2 + (4-1)^2

r^2 = 16 +9 = 25

so you answer is (x-4)^4 + (y-8)^2 = 25

Which graph represents the function h(x) = |x| + 0.5?

On a coordinate plane, an absolute value graph has a vertex at (0, 1.5).

On a coordinate plane, an absolute value graph has a vertex at (negative 0.5, 0).

On a coordinate plane, an absolute value graph has a vertex at (0, 0.5).

On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, 0).

Answers

Answer:

On a coordinate plane, an absolute value graph has a vertex at (0, 0.5).

Step-by-step explanation:

properties of the given function

domain=X€Rrange=[1/2,+♾️)minimum (0,1/2)

Answer: it's the second option

Step-by-step explanation:

Need help urgently please

Answers

L is Y=4
M is Y=-2x+4
N is Y=x-1
P is X= -4

___________is a relation in which each element of the domain is paired with exactly one element of the range.

Answers

Answer:

A function

Step-by-step explanation:

A function is a relation in which each element of the domain is paired with exactly one element of the range.

x + 3y > –3 and y < One-halfx + 1?

Answers

The complete question is

"Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?"

The solution is the intersection region of all the solutions in the system of inequalities.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We know that the lines are given as;

x + 3y = -3

y = 1/2 x + 1

Solving for "y" from the first line;

3y = -3 - x

y = -1 - x/3

For the line x + 3y = -3 the x-intercepts;

y = 0

y = -1 - x/3

0 = -1 - x/3

x/3 = -1

x = -3

And the y-intercept;

y = -1

For the line y = 1/2 x + 1 the x-intercepts;

y = 0

0= 1/2 x + 1

1/2x = -1

x = -2

And the y-intercept

x = 0

y = 1

Now we can graph both lines,

The solution is the intersection region of all the solutions in the system of inequalities.

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what is the value of k such that x-2y=5 and 4x+ky=3 are perpendicular?

Answers

Answer:

k= -4/3

Step-by-step explanation:

Which inequality is shown in this graph?
OA. ys-3x+3
OB. y2-3x+3
OC. ys 3x+3
OD. y23x+3

Answers

Answer:

Step-by-step explanation:

The line is shaded below, so we can eliminate B and D.

Also, the line has negative slope, so this eliminates C.

The inequality of the graph is y ≤ -3x + 3.

The correct option is A.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

The inequality graph has two points on the line (0, 2) and (2, -3).

And the shaded region of the graph is left to the line made by points (0, 2) and (2, -3).

The line passing through the points (0,2) and (2,-3) can be written in a slope-intercept form as:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line is given by:

m = (y2 - y1) / (x2 - x1) = (-3 - 2) / (2 - 0) = -5/2

The y-intercept can be found by substituting the coordinates of either point into the equation:

y = mx + b

2 = (-5/2)(0) + b

b = 2

So the equation of the line is:

y = (-5/2)x + 2

The shaded region of the graph is to the left of this line. Since the line has a negative slope, any point below the line will satisfy the inequality y ≤ -3x + 3. Therefore, the correct answer is A.

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Which expression is equivalent to 3√64ab²c³?
2abc²[√4a²b³c]
4a²b²c³ (3√5)
8a³b³c¹ (3√/bc)
8a²b²c³(3√/b)

Answers

Answer:

[tex]4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]

Step-by-step explanation:

**Please note that the expression quoted in the question is likely incorrect (see attachment)**

Assuming the expression is:

[tex]\sqrt[3]{64a^6b^7c^9}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}{ \cdot \sqrt{b}[/tex]

[tex]\implies \sqrt[3]{64} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]

Rewrite 64 as 4³:

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \sf to\:\:b^7[/tex]

[tex]\implies b^7=b^{6+1}=b^6b^1=b^6b[/tex]

Therefore:

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}b}\cdot \sqrt[3]{c^9}[/tex]

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}}\cdot \sqrt[3]{b}\cdot \sqrt[3]{c^9}[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a^m}=a^{\frac{m}{n}}[/tex]

[tex]\implies 4^{\frac{3}{3}} \cdot a^{\frac{6}{3}} \cdot b^{\frac{6}{3}} \cdot \sqrt[3]{b} \cdot c^{\frac{9}{3}}[/tex]

Simplify:

[tex]\implies 4^1 \cdot a^2 \cdot b^2 \cdot \sqrt[3]{b} \cdot c^3[/tex]

[tex]\implies 4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]

³√64ab²c³√4³ab²c³4c√a^{2/3}b^{2/3}

The expression is seemed to have none of the above solutions

Consider the function given below. f(x)=x Plot the x- and y- intercepts of the function.

Answers

jdjxnz an
ensueñan dhsjJnw shi na wuxi whzizja akmA

Variables y and x have a proportional relationship, and y = 21 when x = 14.

What is the value of x when y = 12?

Enter your answer in the box.

x =
please help

Answers

Answer:

Step-by-step explanation:

We know that y is 1.5 times x, so when x = 12, y = (1.5)(12)=18

This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality. The value of x is 8, when the value of y is 12.

What is the directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

Given Variables y and x have a proportional relationship, therefore, we can write,

y ∝ x

y = k × x

21 = k × 14

21/14 = k

k = 1.5

Therefore, the equation for the relationship between x and y can be written as,

y = 1.5x

now, the value of x when the value of y is 12 is,

12 = 1.5 × x

x = 8

Hence, the value of x is 8, when the value of y is 12.

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The graph of F(x), shown below, resembles the graph of G(x)= x², but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
A. F(x) = 3(x+4)2 +4
B. F(x)=3(x-4)2 - 4
C. F(x)=-3(x+4)² +4
D. F(x) = -3(x-4)² +4

Answers

The equation of the function is F(x) = -3(x-4)² +4 , the correct answer is Option D

The missing graph is attached with the answer

What is a function ?

A function is a law that relate the independent variable and the dependent variable.

It is given that

The graph of F(x), shown below, resembles the graph of G(x)= x², but it has been changed

From the graph, it is seen that,

G(x) when shifted by -4 on the negative x axis.

and graph shifted by +4 on the positive y axis.

F(x) is scaled by a factor of -⅓ of G(x)

it is reflected across the x-axis.

So the equation of the function is

F(x) = -3(x-4)² +4

Therefore , the correct answer is Option D.

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A box contains x apples.
5 are green and the rest are red.
Write an expression for P(red).

Answers

The expression for P(red) is (x - 5)/x

How to determine the expression?

The given parameters are:

Apple = x

Green = 5

The number of red apples is:

Red = Apple - Green

This gives

Red = x - 5

The expression for P(red) is then calculated as:

P(Red) = Red/Apple

This gives

P(Red) = (x - 5)/x

Hence, the expression for P(red) is (x - 5)/x

Answers

Answer:

16.15

Step-by-step explanation:

sin(30) = a / c

a = c * sin(30)

a = 32.3 * 0.5

a = 16.15

please need help quick, trigonometry

Answers

Answer: C: 5

Step-by-step explanation:

What is the answer?????

Answers

Answer:

36.7075 Hz is the answer

Need help simple explanation if possible

Answers

that’s correct answer is person is correct above

Answer: 21 sqrt(43)/43

Step-by-step explanation: The tangent identity states that tanx = sinx/cosx. Thus, we get 21/22 / sqrt(43)/22. We can simplify this to 21 sqrt(43)/43

Please mark my answer as brainliest if this helped you.

y is directly proportianal to x when y is 30 x is 6. work out the equation connecting y and x

Answers

Answer:

Step-by-step explanation:

Solution

The general equation for this kind of problem is

y = k x

30 = k * 6 Divide both sides by 6

30/6 = 6k/6 Combine

5 = k

So the connection between x and y is that to get a value for y, you must divide it by 6.

If f(x) = 2x² + 3x and g(x)= x - 2, what is (f+ g)(2)?

Answers

Answer:

14.

Step-by-step explanation:

If f(x) = 2x2 + 3x and g(x) = x - 2, (f + g)(2) is 14.

Answer:

Step-by-step explanation:

f(x) = 2x² + 3x

f(2) = 2 * 2^2 + 3(2) = 2*4 + 6 = 8+6 = 14

g(x)= x - 2

g(2) = 2-2 = 0

(f+ g)(2) = 14+0 = 14

Find the difference quotient f(x)−(3)−3 when ()=1+4−5^2. Simplify the expression fully as if you were going to compute the limit as →3. In particular, cancel common factors of −3 in the numerator and denominator if possible. (Use symbolic notation and fractions where needed.)

Answers

The difference quotient of the expression will be 4.

How to find the quotient?

f(x) = 5 + 5x + 4x²

f(3) = 5 + 5(3) + 4(3)³

= 56

Now [f(x) - f(3)]/(x - 3) will be:

= (4x² + 5x + 5 - 56)/(x - 3)

= (4x² + 5x - 51)/(x - 3)

= (4x² + 17x - 12x - 5)/(x - 3)

= (4x + 17)(x - 3)/(x - 3)

= 4x + 17

The difference quotient will be:

g(x + h) = 4(x + h) + 17

= [g(x + h) - g(x)]/h

= (4x + 4h + 17 - 4x - 17)/h

= 4h/h

= 4

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what is the factor expression of x2 + 7x + 10

Answers

Answer:

[tex](x+5)(x+2)[/tex]

Step-by-step explanation:

[tex]\textbf{Given that,}\\\\~~~~x^2 +7x +10\\\\=x^2 +5x +2x +10~~~~~~~~~~~~~~~~~~~~;\textbf{Rewrite}~ 7x ~ \textbf{as}~ 5x +2x\\\\=x(x+5) +2(x+5)\\\\=(x+5)(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Take out the common factor}~ x+5[/tex]

QUESTION 2
Evaluate x4 + 5x3-3x2 + 11x - 6 for x = 3

Answers

Answer:

The answer is (-84)

putting the value of X =(- 3)

2) X = 216

Hello!

We are going to evaluate the expression with our given x-value for question 2.

We know that our expression is: x^4 + 5x^3 - 3x^2 + 11x - 6

We also know that our x-value = 3

We will simply plug in "3" to "x" in our expression and solve.

Solve:

x^4 + 5x^3 - 3x^2 + 11x - 6

Plug in 3 to x:

(3)^4 + 5(3)^3 - 3(3)^2 + 11(3) - 6

Simplify:

(3)^4 + 5(3)^3 - 3(3)^2 + 11(3) - 6

81 + 5(3)^3 - 3(3)^2 + 11(3) - 6

81 + 135 - 3(3)^2 + 11(3) - 6

81 + 135 - 27 + 33 - 6

216 - 27 + 33 - 6

189 + 33 - 6

222 - 6 = 216

Therefore, our final answer would be 216.

Answer:

216

What is the period of the graph of y=1/2 sin (2x)-3?
A.3
B.2
C.1/2
D. Pi

Answers

The period of the y=1/2 sin (2x)-3 is 2.

We have given that,

y=1/2 sin (2x)-3

We have to determine the period

What is the period?

A period is the part of the menstrual cycle when a woman bleeds from her vagina for a few days.

Normally the period of sin(2x) is 2x, but the pi inside the sin(2x) is a horizontal compression by a factor of 1/pi.

So 2pi·1/pi = 2

The 1/2 and -3 do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.

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Answer:

It's actually D. Pi.

Step-by-step explanation:

I have no clue what the other guy was saying. The period of this graph is Pi or π.

Question 7 of 25
If f(x)=6x²,-4 and g(x)=2x+2, find (f- g)(x).
OA. 2x-5x2-2
OB. 6x²-2x-6
OC. 4x²-6
O D. 6x²2-2x-2

Answers

Answer:

Step-by-step explanation:

help honestly MARKING BRAINLIESt

Answers

Answer:

See below ~

Step-by-step explanation:

a) Forming the equation :

⇒ We start with a number, x

⇒ Now we double it so : 2(x) = 2x

⇒ Then we add 11 to it : 2x + (11) = 2x + 11

⇒ It is equal to 25 : 2x + 11 = 25

b) Solving the equation :

Subtract 11 from both sides :

⇒ 2x + 11 - 11 = 25 - 11

⇒ 2x = 14

Divide 2 on both sides :

⇒ 2x/2 = 14/2

⇒ x = 7

Let unknown number be x

Double it

Add eleven

2x+11

You got 25

2x+11=25

Lets solve the equation

2x=25-112x=14x=7

Solve for x (12x-7)/4=(5x+18)/3

Answers

Answer:

x = 5.81

Step-by-step explanation:

3(12x-7) = 4(5x+18)

36x-21 = 20x +72

16x = 93

x = 5.81

Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.

Answers

Answer:

Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

Step-by-step explanation:

Parent function: [tex]f(x)=x[/tex]

The graph of the parent function is a straight line graph that intersects the axes at the origin (0, 0) and has a positive slope of 1 unit.

To determine the sequence of transformations, find the equation of the transformed function in slope--intercept form.

Slope-intercept form of a linear function: [tex]f(x)=mx+b[/tex]

(where m is the slope and b is the y-intercept)

To calculate the slope of the transformed function, choose two points on the line and use the slope formula:

Let (x₁, y₁) = (0, -1)Let (x₂, y₂) = (1, -4)

[tex]\implies \sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-(-1)}{1-0}=-3[/tex]

The y-intercept (where the line crosses the y-axis) of the transformed function is (0, -1).

Therefore the equation of the transformed function is:

[tex]g(x)=-3x-1[/tex]

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Comparing the transformed function's equation with the parent function:

[tex]\begin{cases}f(x)=x\\g(x)=-3x-1\end{cases}[/tex]

Transformations

1. Reflection in the y-axis:

[tex]f(-x)=-x[/tex]

2. Vertically stretched by a factor of 3:

[tex]3f(-x)=-3x[/tex]

3. Shifted 1 unit down:

[tex]3f(-x)-1=-3x-1[/tex]

Summary

Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

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what are the pair of intergers whose product is -12

Answers

Answer:

The answer is -4×3 or -3×4 or -6×2 or -2×6 or -1×12 or -12×1

Step-by-step explanation:

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PLEASE HELP I WILL GIVE 20 POINTS Function g can be thought of as translated (shifted) version of f(x)=x^2

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PLEASE HELP I WILL GIVE 20 POINTS

Function g can be thought of as translated (shifted) version of f(x)=x^2