Polynomial Functions

Practice Questions

Algebra II › Polynomial Functions

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1

For the graph below, match the graph b with one of the following equations:

$y= x^{2}$

$y = (x-2)^{2}$

$y = (x+3)^{2}$

$y = -(x-2)^{2} -2$

Parabola

2

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

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

3

For the graph below, match the graph b with one of the following equations:

$y= x^{2}$

$y = (x-2)^{2}$

$y = (x+3)^{2}$

$y = -(x-2)^{2} -2$

Parabola

4

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

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

5

Let $\small f(x)=x^2-10$ , $\small g(x)=x^3$ , and $\small h(x)=2x$ . What is $\small f(h(g(x)))$ ?

6

Let $\small f(x)=x^2-10$ , $\small g(x)=x^3$ , and $\small h(x)=2x$ . What is $\small f(h(g(x)))$ ?

7

Let $\small f(x)=\sqrt[3]{x^2}$ , $\small g(x)=x^3$ , and $\small h(x)=\sqrt[4]{x}$ . What is $\small f(g(h(x)))$ ?

8

Let $\small f(x)=\sqrt[3]{x^2}$ , $\small g(x)=x^3$ , and $\small h(x)=\sqrt[4]{x}$ . What is $\small f(g(h(x)))$ ?

9

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

10

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

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