✔ leftrightupdown
leftright✔ updown
What is the domain of





What is the range of





Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.
The domain of is

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Which is the graph of

Describe how the graph of the parent function [image 1] is transformed when graphing [image 2] The graph is translated 6 units left✔ rightupdown.

The graph is not reflected.✔ reflected over the x-axis.reflected over the y-axis.
The graph has a vertical stretch by a factor of 1/3.compression by a factor of 1/3.✔ stretch by a factor of 3.compression by a factor of 3.
Which of the following graphs are identical?






Which of the following graphs have the same domain?




Compared with the graph of the parent function, which equation shows only a vertical compression by a factor of and a shift downward of 4 units?





Compared with the graph of the parent function, which equation shows a vertical stretch by a factor of 6, a shift of 7 units right, and a reflection over the x-axis?




Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. Then, determine the values of a, h, and k in the general equation. h = k = a =

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4
⇒ 2
1
Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function.

Factor −8 from the radicand to rewrite the function as y = −2∛(x + 1/2). This reflects the parent graph over the x-axis, stretches it vertically by a factor of 2, and shifts it 1/2 unit to the left.
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