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Lesson 8.1 Key Features of a Quadratic Function

yuyEssential Question: What is the quadratic parent funciton and how can you recognize the key features of its graph?

Lesson Goal: I can identify key features of the graph of the quadratic parent function.

2

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

A. There is no change

B. The graph of g(x) is wider

C. The graph of g(x) is narrower

D. The graph of g(x) is wider and narrower

2

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

A. There is no change

B. The graph of h(x) is wider

C. The graph of h(x) is narrower

D. The graph of h(x) is wider and narrower

2

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

A. There is no change.

B. The graph of j(x) is wider

C. The graph of j(x) is narrower

D. The graph of j(x) opens upwards

E. The graph of j(x) opens downwards

2

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

A. There is no change.

B. The graph of k(x) is wider

C. The graph of k(x) is narrower

D. The graph of k(x) opens upwards

E. The graph of k(x) opens downwards

1

Based of the image above.
Given the function
find the average rate of change over the interval 𝟢 ≤ 𝘹 ≤ 𝟦. What does the average rate of change tell you about the function?

1

At the end of the lesson or question 5, I can say that I am able to identify the key features of the graph of a the quadratic parent function.

A. Yes, I'm super Confident

B. No, I didn't understand the topic to well.

C. I need a bit of help on #1 and 2

D. I need a bit of help on # 3 and 4

E. I need a bit of help on #5

Quadratic Function Features

Quadratic Function Features

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

Based of the image above.
Given the function
find the average rate of change over the interval 𝟢 ≤ 𝘹 ≤ 𝟦. What does the average rate of change tell you about the function?

At the end of the lesson or question 5, I can say that I am able to identify the key features of the graph of a the quadratic parent function.

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

Based of the image above.
Given the function
find the average rate of change over the interval 𝟢 ≤ 𝘹 ≤ 𝟦. What does the average rate of change tell you about the function?

At the end of the lesson or question 5, I can say that I am able to identify the key features of the graph of a the quadratic parent function.

Quadratic Function Features

Quadratic Function Features

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

Based of the image above.Given the functionfind the average rate of change over the interval 𝟢 ≤ 𝘹 ≤ 𝟦. What does the average rate of change tell you about the function?

At the end of the lesson or question 5, I can say that I am able to identify the key features of the graph of a the quadratic parent function.

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

Based of the image above.Given the functionfind the average rate of change over the interval 𝟢 ≤ 𝘹 ≤ 𝟦. What does the average rate of change tell you about the function?

At the end of the lesson or question 5, I can say that I am able to identify the key features of the graph of a the quadratic parent function.

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

Based of the image above.
Given the function
find the average rate of change over the interval 𝟢 ≤ 𝘹 ≤ 𝟦. What does the average rate of change tell you about the function?

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

SELECT ALL THAT APPLY.
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?

Based of the image above.
Given the function
find the average rate of change over the interval 𝟢 ≤ 𝘹 ≤ 𝟦. What does the average rate of change tell you about the function?