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P3.2: Function Transforms

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Last updated almost 4 years ago
15 questions
Note from the author:
Watch this video for more review on transformations of functions.
Watch this video for more review on transformations of functions.
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Question 1
1.

Identify the function transformations for the function.

f(x) = x^{2} - 7

Question 2
2.

Identify the function transformations for the function.

f(x) = \frac{1}{5}\sqrt{x}+4

Question 3
3.

Identify the function transformations for the function.

f(x) = -(x - 2)^{2}

Question 4
4.

Identify the function transformations for the function.

f(x) = \sqrt{x+6}+2

Question 5
5.

Identify the function transformations for the function.

f(x) = 2(x+5)^{2}-4

Question 6
6.

Identify the function transformations for the function.

f(x) = -\frac{5}{3}x^{2}+2

Question 7
7.

The quadratic parent function is reflected in the x-axis, then translated 2 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

Question 8
8.

The quadratic parent function is stretched by 5, then translated 3 units right.

Write the new equation for the function. Use "y=..." format, no spaces.

Question 9
9.

The square root parent function is shifted 7 units down and 4 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

Question 10
10.

The square root parent function is compressed by 1/2, then reflected over the x-axis.

Write the new equation for the function. Use "y=..." format, no spaces.

Question 11
11.

The quadratic parent function is stretched by 4, then shifted 2 units right and 1 unit down.

Write the new equation for the function. Use "y=..." format, no spaces.

Question 12
12.

The quadratic parent function is reflected in the x-axis, then translated 8 units left and 5 units up.

Write the new equation for the function. Use "y=..." format, no spaces.

1
Question 13
13.

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

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Question 14
14.

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

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Question 15
15.

Select the function that matches the graph shown.