Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph of f(x) = x2 Write a rule for g.
g(x) =

Answers

Answer 1

Answer:

g(x)= x2

Step-by-step explanation:

g(x)=x2 = f(x)=x2

Answer 2

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of [tex]\rm f(x) = (x-1)^2[/tex] then the function  [tex]\rm g(x) = 2(x+4)^2[/tex].

Given :

[tex]f(x) = x^2-2x+1[/tex]The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  [tex]f(x) = x^2-2x+1[/tex].

The following steps can be used to determine the rule for g:

Step 1 - Rewrite the given function f(x).

[tex]\rm f(x) = (x-1)^2[/tex]

Step 2 - Now, the graph is stretched vertically by a factor of 2.

[tex]= 2(x-1)^2[/tex]

Step 3 - Now, reflect the graph about the y-axis.

[tex]=2(-x-1)^2[/tex]

[tex]=2(x+1)^2[/tex]

Step 4 - Now, move to the left by 3 units.

[tex]=2(x+3+1)^2[/tex]

[tex]=2(x+4)^2[/tex]

Therefore, the function [tex]\rm g(x) = 2(x+4)^2[/tex].

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Related Questions

T^12 x T^10= T to the power of what

Answers

Answer:

t²²

Step-by-step explanation:

Hi there !

t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²

Good luck !

Find four consecutive even integers whose sum is -4

Answers

Dont use this website

Its a sham

What is the sum of the zeros of the equation (m-4)(3m-2)=0

Answers

Answer:

3m^2-14m-8

Step-by-step explanation:

(m-4)(3m-2)=?

m(3m-2) = 3m^2-2m

-4(3m-2) = -12m-8

3m^2-2m-12m-8

3m^2-14m-8

Write the nature of roots of the quadratic equation 9x^2 -6x+2

Answers

Answer:

roots are not real

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

Then the nature of the roots can be found using the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Given

9x² - 6x + 2 = 0

with a = 9, b = - 6, c = 2 , then

b² - 4ac = (- 6)² - (4× 9 × 2) = 36 - 72 = - 36

Since b² - 4ac < 0 then the roots are not real

What is the slope of a line that goes through the points (3,7) and (8, 11)

Answers

Answer:

The answer is

[tex] \huge \frac{4}{5} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{11 - 7}{8 - 3} = \frac{4}{5} \\ [/tex]

We have the final answer as

[tex] \frac{4}{5} \\ [/tex]

Hope this helps you

It’s all log base 10
I need help with all of them

Answers

Answer:

im not very sure what you marked off i cant really tell what it is in the middle of them

Please help me find the answer
34=___

Answers

Answer:

34 divided by 2

Step-by-step explanation:

come onnnnnnnnnn

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice.

Answers

Complete Question

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice

a What is the probability that Christine fails the course

b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability

Answer:

a

   [tex]P(F) =   0.264[/tex]

b

[tex]P(T | F ) = 0.23636 [/tex]

Step-by-step explanation:

From the question we are told that

The probability that Christine will fail the course if she does not have a tutor is [tex]P(F| T') = 0.42[/tex]

The probability that Christine will fail the course if she has a tutor is [tex]P(F| T) = 0.12[/tex]

The probability that she will find a tutor is [tex]P(T) = 0.52[/tex]

Generally the probability that she will not find a tutor is

[tex]P(T') = 1 - 0.52[/tex]

=> [tex]P(T') = 0.48[/tex]

Generally the probability of failing the course is

[tex]P(F) = P(F \ n \ T) + P(F \ n \ T')[/tex]

=> [tex]P(F) = P(F| T) * P(T) + P(A | T') * P(T')[/tex]

=> [tex]P(F) = 0.12 * 0.52 + 0.42* 0.48[/tex]

=> [tex]P(F) = 0.264[/tex]

Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as

[tex]P(T | F ) = \frac{ P(F | T) * P(T)}{ P(F)}[/tex]

=> [tex]P(T | F ) = \frac{ 0.12 * 0.52}{ 0.264}[/tex]

=> [tex]P(T | F ) = 0.23636 [/tex]

You score 84 points in six games. How much do you score per game? Write your answer in unit rate form

Answers

Answer

14 points/1 game

Which is equal to 14 points per game.

Step-by-step explanation:

What is -4/5 divided by 2/3? I can't figure out how to get the answer and the calculators are no help at all.

Answers

If you're asking for improper, It's -6/5.

If you're asking for decimal. it's -1.2

If you're asking for mixed number, It's -1 1/5.

Answer:

-2/15

Step-by-step explanation:

Apply the fractions formula for addition, to

− 45 + 23

and solve

( −4 × 3 ) + ( 2 × 5 ) 5 × 3

= − 12 + 10/15

= −2/15

Therefore:

−45+23= −2/15

What is 1,675 rounded to the hundreds place?


Worth 26 points

Who ever answer first will be marked brainiest

Answers

Answer:

1700

Step-by-step explanation:

Because it is above 1650, round up into the hundreds place, so it makes 1700!

If it is 1649 or below, you would round down to 1600.

Note: The hundreds place is the 3rd from the right, so use the two from the right to round!

The answer to this question is 1700

What is the answer to this question please answer will make Brainly

Answers

Answer:

BIG Bs

Step-by-step explanation:

What is the measure of <2? m<2=31, m<2=50​

Answers

Answer: invalid input

Step-by-step explanation:

how do I solve this complex expression-
(5+2i)+(6i^2-3i+2)

Answers

Answer:

1-i

Step-by-step explanation:

Hello,

you know that [tex]i^2=-1[/tex], right?

so

[tex](5+2i)+(6i^2-3i+2)\\\\=5+2i-6-3i+2\\ \\=1-i[/tex]

Thanks

9. Which property is illustrated?
For all expressions a, b, and c, if a = b , then a+c=b+c.
Distributive Property of Equality
Associative Property of Addition
Commutative Property of Addition
Addition Property of Equality
Subtraction Property of Equality
10. True or False: An argument that uses logic in the form of definitions, properties, and previously proved

Answers

Answer:

It is Distributed property and False

Step-by-step explanation:

Column vector (4, 1) has been rotated to column vector (-1, 4). Which matrix carried out the transformation?

Answers

Answer:

C.(3|-4)

Step-by-step explanation:

Geometry
Please help me with my homework! Thank you!

Answers

BF and DH would be solutions to this problem, well the solutions I could find.

Answer:

DH, CG, BF

Explanation:

Since the question is asking which lines are parallel to AE and AE is a vertical line, you need to look at the other vertical lines that are making up the sides of the box. These vertical lines are 1. DH 2. CG 3.BF.

Hope this helps.

-5(-2)=


PLEASE HELP ASAP!!

Answers

Answer:

The anwser is 10

Step-by-step explanation:

a negitive times a negitive equals a positive

Answer:

10

Step-by-step explanation:

A negative times a negative equals a positiveSo, -5 × -2 is the same thing as 5 × 25 × 2 = 10

I hope this helps!

An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
wat is the answer

Answers

Answer:

There was a 25% increase.

Step-by-step explanation:

HELP PLEASE ASAP!! THANKS!

Answers

answer: c

explanation: functions can’t have more than one domain for each range

Can someone please help me with this problem

Answers

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

2/5(j+40)=-4 can you show the work plz

Answers

Answer:

-50

Step-by-step explanation:

2/5(j + 40) = -4

j+40 = -4 ÷2/5

j+40 = -10

j = -10 - 40

j = -50

Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a
sticker price of $18,560. If his discount is 18 percent, what is the price that Dao will pay?
O $3,340.80
$3,712.00
$12,992.00
$15,219.20

Answers

Answer: It’s $15,219.20

a.k.a D at least that’s what it says on mine

Step-by-step explanation:

Hope this helps and just answered question correct on edg so yea


2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number. help me in number 2 and 3 please ​

Answers

Answer:

2. the answer is 5 because the square of 5 is 25 and 4 x 25 = 100 which is 20 x 5

Step-by-step explanation:

We are required to find the unknown number from the expression

2.

let

the number = x

four times the square of a number equals 20 times that number

4x² = 20x

Divide both sides by 4x

x = 5

The number is 5

3.

let

x = the unknown number

Twice the square of the sum of a number and 3 is 98

sum of a number and 3 = x + 3

square of the sum = (x+3)²

Twice the square = 2(x + 3)²

2(x + 3)² = 98

2(x² + 6x + 9) = 98

2x² + 12x + 18 = 98

2x² + 12x +18 - 98 = 0

2x² + 12x - 80 = 0

x² + 6x - 40 = 0

using factorization method to solve the quadratic equation

x² + 10x - 4x - 40 = 0

x(x + 10) - 4(x + 10) = 0

(x + 10) ( x - 4) = 0

x + 10 = 0 or x - 4 = 0

x = -10 or x = 4

Therefore, the unknown number is -10 or 4

Read more:

https://brainly.com/question/19952256

Please I need some answers a few is fine

Answers

Answer:

i) (121)^1/2 = 11;

11*11 = 121

ii) (12321)^1/2 = 111;

111*111 = 12321

iii) (1234321)^1/2 = 1111;

1111*1111 = 1234321

iiii) (123454321)^1/2 = 11111;

11111*11111 = 123454321

Which is one method to help avoid cross-contamination?

Buy prepared food

Keeping peanuts away from other foods

Ensuring cold food is stored at 41°F

Store chicken over lettuce

Answers

keeping peanuts away from other foods???

y = 1.6x + 48

Based on the equation, what is the approximate shoe size for a man having a height of 60 inches?

A. 7 1/2
B. 10 1/2
C. 12
D. 14​

Answers

Answer:1

14

Step-by-step explanation:

substitue 60 into 1.6

y = 1.6(60) + 48

96 + 48

144

2

Let's find 1/2 - 1/6. First, write the subtraction so the fractions have denominator . Then subtract. 1/2 - 1/6 = blank/6 - 1/6 blank/blank

Answers

Answer:

1/3 or 0.3 (repeating decimal)

Step-by-step explanation:

The subtraction the fractions gives 1/3.

What is a fraction?

The fractions include two parts, numerator and denominator.

Numerator: It is the upper part of the fraction, that represents the sections of the fraction.

Denominator: It is the lower or bottom part that represents the total parts in which the fraction is divided.

Given that are two fractions 1/2 and 1/6, we need to subtract them,

Firstly, equating the denominators,

1/2 = 6/12

1/6 = 2/12

Therefore,

1/2 - 1/6 = 6/12 - 2/12

= (6-2)/12

= 4/12

= 1/3

Hence on subtracting the fractions we get 1/3.

Learn more about fractions click;

https://brainly.com/question/10354322

#SPJ2

turn this equation into a sentence.

2 + 3n = 4n

Answers

Answer:

4 times a number equals 2 plus 3 times a number

Step-by-step explanation:

I know this might not make sense but this is how most people put this in a sentence. :)

The function is expressed as:  "the product of a number and 3 increased by 2 is the same as the product of the number and 4"

Given the function 2 + 3n = 4n. We are to write this function as a statement:

Let "n be an unknown number.

3n can be written as  the product of a number and 3"

2 + 3n is expressed as "the product of a number and 3 increased by 2"

4n can be written as  the product of a number and 4"

Combining the statements, the function is expressed as:

"the product of a number and 3 increased by 2 is the same as the product of the number and 4"

Learn more here: https://brainly.com/question/19448765

Evaluate f(x) = x+2 for x=3

Answers

Answer:

f=2

Step-by-step explanation:

Answer:

f ( x ) = 5

Step-by-step explanation:

Step 1:

f ( x ) = x + 2      Function

Step 2:

f ( x ) = 3 + 2      Input x

Answer:

f ( x ) = 5     Add

Hope This Helps :)

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