Algebra 2 5-9 Transforming Polynomial Functions

4 (1 rating)

by Matthew Richardson

| 23 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

10 pts

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 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 2 Got It?

A

B

C

D

4

10 pts

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

5

10 pts

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

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

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 x-axis, so the zeros will not stay the same.

6

6

10 pts

Problem 4 Got It?

A

B

C

D

7

7

10 pts

A

B

C

D

8

8

10 pts

A

B

C

D

9

9

10 pts

A

B

C

D

10

5 pts

Vocabulary: Is the function below an example of a power function?

Yes

No

11

10 pts

Vocabulary: Explain your response above.

12

10 pts

Error Analysis: Your friend says that he has found a way to transform the graph of the function below to obtain three real roots. Using the graph of the function, explain why this is impossible.

You may use the embedded Desmos utility below to graph the function.

13

10 pts

Compare and Contrast: How are the graphs of the two functions below alike? different? What transformation was used to get the second equation?

You may use the embedded Desmos utility above to graph the function.

14

10 pts

Review Lesson 5-8: Create a table and plot the points on the coordinate plane. Find and graph a polynomial function that passes through all of the given points. Zoom and pan your graph to establish an appropriate viewing window.

15

10 pts

Review Lesson 5-8: Create a table and plot the points on the coordinate plane. Find and graph a polynomial function that passes through all of the given points. Zoom and pan your graph to establish an appropriate viewing window.

16

10 pts

Review Lesson 2-4: Graph the lines described below on the same coordinate plane. Zoom and pan your graph to establish an appropriate viewing window.

17

10 pts

Review Lesson 2-1: Classify each relation.

- Function
- Not a function

18

10 pts

Vocabulary Review: Identify the constant in the expression.

3

-3

2

1

19

10 pts

Vocabulary Review: Identify the expressions that do not contain a constant term. Select all that apply.

20

10 pts

Use Your Vocabulary: Identify the translation, reflection, stretch, and compression of the word Algebra.

- Translation
- Reflection
- Stretch
- Compression

21

21

10 pts

Key Concept: Identify the function(s) that are NOT Power Functions.

22

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

23

10 pts

Reflection: Math Success

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