The graph of g is a vertical stretch by a factor of 4 and a reflection in the x-axis, followed by a translation 2 units up of the graph of f(x)=x2. Write a rule for g. Then identify the vertex.
Answers
Answer:
f(x)=x^2
g(x)= -4(x^2)+2
(0,2)
Step-by-step explanation:
Using transformation concepts, it is found that:
The rule for g is: [tex]g(x) = -4x^2[/tex]The vertex is: (0,0).------------------------------------
Stretching a function [tex]f(x)[/tex] vertically by a factor of b is given by: [tex]g(x) = bf(x)[/tex]Reflecting a function over the x-axis is the equivalent of: [tex]g(x) = -f(x)[/tex]------------------------------------
The original function is: [tex]f(x) = x^2[/tex].Stretching by a factor of 4 means that the function is multiplied by 4, thus: [tex]g(x) = 4x^2[/tex]Reflecting over the x-axis, that is, multiplying by -1, we have that: [tex]g(x) = -4x^2[/tex], which is the rule for g.From the graph added at the end of this answer, the vertex is at (0,0).A similar problem is given at https://brainly.com/question/15196246
Related Questions
What’s a better buy? 80 marbles for $4.99 or 90 marbles for $5.99?
Answers
80 marbles for $4.99 is a better buy as compared with 90 marbles for $5.99
What is comparison in mathematics?
Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.
Given are 80 marbles for $4.99 and 90 marbles for $5.99.
Using Unitary method -
80 marbles cost → $4.99
1 marble will cost → (4.99/80) = $0.062
90 marbles cost → $5.99
1 marble will cost → (5.99/90) = $0.066
Clearly $0.062 < $0.066
So, 80 marbles for $4.99 is a better buy.
Therefore, 80 marbles for $4.99 is a better buy as compared with 90 marbles for $5.99
To solve more questions on Rate comparison, visit the link below-
https://brainly.com/question/2187261
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Evaluate 24−8x when x=−2.
Answers
Answer:
40
Given:
x=-2
Step-by-step explanation:
24−8x
24 - 8(-2)
24- (-16)
24+16
40
hope it helps you!!
What number makes the equation true? 8 = 48 ÷ ?
Answers
Answer:
48 divide 8
Step-by-step explanation:
the answer would be 6 = 48 ÷ 8
can u help me with this problem please
Answers
Answer:
No she is not going the same speed.
Explanation: I know she isn't going the same speed because if you multiply 65 with 2 you will get 130 not 120. So right off the bat she wasn't going the same speed. Hope this helps
Tomas works as an underwater photographer. He starts at a position that is 13 feet below sea level. He rises 6 feet, then descends 16 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Answers
Answer:
Think of sea level as 0 on a number line
-13 + 6 - 15
Step-by-step explanation:
Answer:
-13 + 6 - 16
Step-by-step explanation:
He starts at 13 beneath the surface, so 13 beneath 0 (-13). Then he rises up 6, so + 6. After that, he lowers 16 one last time, so subtract 16.
1.04 x 10^-4 in standard form
Answers
Answer:
0.000104x
Step-by-step explanation:
Brainliest and 20 points for correct answer
Answers
The answer is C since the square root of 38 is about 6.1 and is the closest to the dot
13z − 12z − 1 = 4
please help !!!! ......
Answers
Answer:
Z=5
Step-by-step explanation:
13z-12z=1z
4+1=5
hope this helps!
Please someone help with explanation! It’s due in 30 min!! Pleasee
Answers
Answer:
hi
Step-by-step explanation:
2 ÷ 1/8 (1/8 is a fraction)
Answers
Answer:I'm pretty sure the answer is 16
Step-by-step explanation: you know if the 1 of the fraction 1/8 gets to 8 it will become 1 right, so try that many times until you get to 2 which at that point you get 16.
Hope this helps!
Answer:
16
Step-by-step explanation:
Convert
(optional but easier, in my opinion)
1/8 = 0.125
Divide
2 ÷ 0.125
= 16
Mr. Shaw graphs the function f(x) = -5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope
form of the equation of the line he graphed?
Oy - 12 = -5(x + 2)
Oy - 12 = 2(x + 2)
O y + 12 = 2(x - 2)
O y + 12 = -5(x - 2)
Answers
Answer:
The first choice is correct. y-12=-5(x+2)
Step-by-step explanation:
Point-Slope Form of a Line
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
The equation of the line in slope-intercept form is:
y=mx+b
Where b is the y-intercept.
Mr. Shaw graphs the function y=f(x)=-5x+2
The coefficient of the x can be identified as the slope m=-5. We are given the point (-2,12) to build the point-slope form of Mr. Shaw's line as follows:
y-12=-5(x+2)
The first choice is correct. y-12=-5(x+2)
Answer:
a
Step-by-step explanation:
i took test
by combining like terms
4x2 - 3x + 11 -2x
Answers
Answer:
-5x +19
Step-by-step explanation:
That's the answer
-3x-2x 4x2+11
-5x 8+11
-5x+19
What is the slope, y intercept and equation of the graph
Answers
Answer:
slope=3 y- intercept is -2 and the equation is y=3x-2
Step-by-step explanation:
please help. ill give brainiest. I greatly appreciate your guy's help! :)
Answers
Answer:
it would be 12 1/2
Step-by-step explanation:
u would multiply 5/6 and 15 which would give u 25/2 and that is 12 1/2 as a mixed number
3. The temperature is 3°C below zero.
Answers
Answer:-3
Step-by-step explanation:
How would you solve this(what is the equation of the line that passes through the point (3,4) and has a slope of -2/3?)//delta math//
Answers
Answer:
[tex]y = -\frac{2}{3}x + 6[/tex]
Step-by-step explanation:
y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.
4 = [tex]-\frac{2}{3}[/tex](3) + b
-2/3 times 3 is -2 so you can fill that in place.
4 = -2 + b
+2 +2
6 = b
So the y-intercept is 6 now we can complete the equation.
[tex]y = -\frac{2}{3}x + 6[/tex]
Hope that helps and have a great day!
Can someone help please?
Answers
Answer:
Can i be brainlest i neeed it
i need help bc i strugglew
Answers
Answer:
1. (9,6)
2. You can use the graph by following the line drawn on it and, using the dotted points to be able to find where the number of balloons is 15 and what the cost for 15 balloons is
Determine the slope of the line passing through each pair of points. (5, 8) and (-4, 6)
Answers
Answer:
picture?
Step-by-step explanation:
Is the following number in scientific notation? Why or why not?
45.32 X 105
Answers
Answer:
Step-by-step explanation:
No the following number is not a scientific notation because The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
A palr of parallel lines is cut by another palr of parallel lines as shown in the fgure. which angles are congruent to angle K OA angles P, Q, and R OB. angles M, E, and C OC. angles G, A, and B OD. angles D, E, arnd C OE. angles M, N, and P
Answers
Answer:
Angles G, A, and B
Step-by-step explanation:
PLEASE HELP! I need to get this right to boost my grade, and I'm having trouble understanding it but there's a deadline to turn it in. Could anyone help me?
Estimate the area of the irregular shape (don’t forget to show work). Explain your method.
I included a picture, I hope it helps.
Answers
Answer:
about 30 units
Step-by-step explanation:
the way my teacher taught me this was just counting all the squares that the irregular shape covers, whether or not it is fully encircled.
(02.02)
A beverage is made by mixing 1 part of water with 3 parts of fruit juice. How many parts of
water are mixed with 1 part of fruit juice? (3 points)
A: 1/3
B: 1/2
C: 3/2
D: 3/1
Answers
Answer:
A: 1/3
Step-by-step explanation:
The ratio is 1 part water to 3 parts juice.
The amount of water in the ratio works out to be 1/3 of the amount of juice.
For 1 part juice, use 1/3 of that amount of water, so use 1/3 part water.
Answer: A 1/3
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m2 = m3
none
Answers
Correct answer is C) none
I did the assignment, the other answer is incorrect.
Given h(x) = -5x + 3, find h(5).
Answers
5x=-2
X=-2/5
Alternative form is x=-0.4
(Geometry) WILL GIVE BRAINY) Mark each figure to indicate the given information.
Answers
Answer:
From A to B that is equal to C to D mark those sides with the same line m<A angle A is equal to m<D Angle D mark those with a half circle
Step-by-step explanation:
let me know if that helped
A quarterback dropped back 5 yards behind the lone of scrimmage. Then, he passed the ball 14 yards. How far past the line of scrimmage did the ball travel? (Write an equation to represent this problem)
Answers
Answer:
9 yards
Step-by-step explanation:
-5 + 14 = 9
it takes john 30minutes to walk 15 blocks to the library as this rate how many blocks can he walk in one minutes
Answers
Answer:
He can walk 1/2 of a block in one minute.
Step-by-step explanation:
Answer:
2 blocks per minute
Step-by-step explanation:
if you do a ratio graph you would obviously have to do 30/15, which your answer would be 2
Y – 9.9 = 6.4
What are the steps to solve this and the answer
Answers
to be honest I'm looking for the delay but if they are not going through it and it will work and I am going through it.
:)
2. Which expression is equivalent to 1/3 p + 15?
A. 1/3 (p + 45)
B. 1/3 (p + 5)
C. 3(p + 45)
D. 3(p + 5)
Answers
Answer:
1/3 ( p + 45)
Step-by-step explanations:
