Algebra 2 5-9 Guided Practice: Transforming Polynomial Functions

by Matthew Richardson

| 6 Questions1

10

Solve It! The graph of the parent cubic function f(x) = x³ is shown in blue. The red graph is a transformation g of the parent function f. What is an equation for g?

2

2

10

Problem 1 Got It?

A

B

C

D

3

3

10

Problem 2 Got It?

A

B

C

D

4

10

Problem 3 Got It? What is a quartic function f(x) with only two real zeros, x = 0 and x = 6?

5

10

Problem 3 Got It? Reasoning: Does -f(x) have the same zeros? Explain.

Yes; -f(x) is f(x) reflected across the x-axis, so the zeros will stay the same.

Yes; -f(x) is f(x) reflected across the y-axis, so the zeros will stay the same.

No; -f(x) is f(x) reflected across the y-axis, so the zeros will not stay the same.

No; -f(x) is f(x) reflected across the x-axis, so the zeros will not stay the same.

6

6

10

Problem 4 Got It? Wind-Generated Power: The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). A wind turbine generates 210 kW of power in a 12 mi/h wind. How much does this turbine generate in a 20 mi/h wind?

A

B

C

D

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.