Algebra 2 5-9 Guided Practice: Transforming Polynomial Functions

Last updated over 3 years ago

17 questions

3

10

F.BF.3

F.IF.7.c

3

8

3

10

F.IF.8.a

10

F.BF.3

3

10

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Algebra 2 5-9 Guided Practice: Transforming Polynomial Functions

Last updated over 3 years ago

17 questions

3

10

F.BF.3

F.IF.7.c

3

8

Draggable item		Corresponding Item

10

Problem 1 Got It?

F.BF.3

3

10

Problem 2 Got It?

F.BF.3

3

10

Take Note: Define offspring function [of a parent function]. You may use the canvas to help illustrate your written definition.

10

F.IF.8.a

10

F.BF.3

3

10

Take Note: What is a power function?

10

5

Take Note: Identify the constant of proportionality in the power function below.
Enter only a number.

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 miles per hour, mi/h). A wind turbine generates 210 kW of power in a 12 mi/h wind. How much power does this turbine generate in a 20 mi/h wind?

10

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

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?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Recall vertex form of a quadratic function, f(x)=a(x-h)^{2}+k, and the transformations of the parent function f(x)=x^2 based on the values of the parameters a, h, and k.

Match the value of each parameter on the left with its related transformation of the parent quadratic function.

Draggable item		Corresponding Item
a<-1		Vertical stretch
h>0		Reflection across the x-axis
a>1		Vertical stretch AND reflection across the x-axis
k<0		Translation to the right
h<0		Translation to the left
-1<a<1		Translation upward
a<0		Translation downward
k>0		Vertical compression

10

Problem 1 Got It?

F.BF.3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Problem 2 Got It?

F.BF.3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Define offspring function [of a parent function]. You may use the canvas to help illustrate your written definition.

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

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

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: What is a power function?

10

Take Note: Identify the power function(s) in the list below. Select all that apply.

5

Take Note: Identify the constant of proportionality in the power function below.
Enter only a number.

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 miles per hour, mi/h). A wind turbine generates 210 kW of power in a 12 mi/h wind. How much power does this turbine generate in a 20 mi/h wind?

10

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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?
 

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Take Note: Recall vertex form of a quadratic function, f(x)=a(x-h)^{2}+k, and the transformations of the parent function f(x)=x^2 based on the values of the parameters a, h, and k.

Match the value of each parameter on the left with its related transformation of the parent quadratic function.

a<-1

Vertical stretch

h>0

Reflection across the x-axis

a>1

Vertical stretch AND reflection across the x-axis

k<0

Translation to the right

h<0

Translation to the left

-1<a<1

Translation upward

a<0

Translation downward

k>0

Vertical compression

A

B

C

D

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

A

B

C

D

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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

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

Yes; -f(x) is f(x) reflected across the x-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.

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 y-axis, so the zeros will stay the same.

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Take Note: Identify the power function(s) in the list below. Select all that apply.

y=3x^{5}-4

g(s)=2s^{7}

h(x)=0.3x^{8}-x^{2}

f(x)=0.25x^{\frac{1}{2}}

Algebra 2 5-9 Guided Practice: Transforming Polynomial Functions

Algebra 2 5-9 Guided Practice: Transforming Polynomial Functions

Problem 1 Got It?

Problem 2 Got It?

Take Note: Define offspring function [of a parent function]. You may use the canvas to help illustrate your written definition.

Take Note: What is a power function?

Take Note: Identify the constant of proportionality in the power function below. Enter only a number.

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 miles per hour, mi/h). A wind turbine generates 210 kW of power in a 12 mi/h wind. How much power does this turbine generate in a 20 mi/h wind?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

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?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Recall vertex form of a quadratic function, f(x)=a(x-h)^{2}+k, and the transformations of the parent function f(x)=x^2 based on the values of the parameters a, h, and k.Match the value of each parameter on the left with its related transformation of the parent quadratic function.

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define offspring function [of a parent function]. You may use the canvas to help illustrate your written definition.

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

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

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What is a power function?

Take Note: Identify the power function(s) in the list below. Select all that apply.

Take Note: Identify the constant of proportionality in the power function below. Enter only a number.

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 miles per hour, mi/h). A wind turbine generates 210 kW of power in a 12 mi/h wind. How much power does this turbine generate in a 20 mi/h wind?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Identify the power function(s) in the list below. Select all that apply.

Take Note: Identify the constant of proportionality in the power function below.
Enter only a number.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Recall vertex form of a quadratic function, f(x)=a(x-h)^{2}+k, and the transformations of the parent function f(x)=x^2 based on the values of the parameters a, h, and k.

Match the value of each parameter on the left with its related transformation of the parent quadratic function.

Take Note: Identify the constant of proportionality in the power function below.
Enter only a number.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?