Transformations of Polynomial Functions

Practice Questions

Algebra II › Transformations of Polynomial Functions

Questions

10

1

$g(x)=4(2x-6)^{5}$

What transformations have been enacted upon when compared to its parent function, $f(x)=x^{5}$ ?

2

Shift to up two units. What is the new equation?

3

Transform the function by moving it two units up, and five units to the left:

4

Write the transformation of the given function flipped, and moved one unit to the left:

5

Write the transformation of the given function moved five units to the left:

6

Shift up one unit. What is the new equation?

7

If and $g(x)=x^{2}-1$ , what is ?

8

Define and .

Find $(g \circ f) (x)$ .

9

Define and $g(x) = x^{2} - 5$ .

Find $(g \circ f) (x)$ .

10

Shift the graph up two units. What's the new equation?

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