Understanding Quadratic Transformations

The video tutorial covers quadratics in vertex form, focusing on transformations of the parent function y = x^2. It explains how to identify and apply transformations such as stretching, shrinking, and shifting. The tutorial provides examples of analyzing transformations and writing equations based on given descriptions. The goal is to help viewers understand how to express quadratic equations in vertex form and recognize the effects of different transformations.

What is the parent function of a quadratic equation in vertex form?

• y = x^4

• y = x

• y = x^2

• y = x^3

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CCSS.HSF-IF.C.7A

In the equation y = 2(x - 9)^2 + 3, what does the '2' represent?

• Reflection

• Stretch

• Horizontal shift

• Vertical shift

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CCSS.HSF-IF.C.7A

For the equation y = 2(x - 9)^2 + 3, what is the horizontal shift?

• Up 9

• Right 9

• Down 9

• Left 9

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CCSS.HSF-IF.C.7A

In the equation y = 2(x - 9)^2 + 3, what is the vertical shift?

• Left 3

• Down 3

• Up 3

• Right 3

What effect does a negative 'a' value have on a parabola?

• Makes it wider

• Reflects it downward

• Shifts it left

• Stretches it

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CCSS.HSF-IF.C.7A

In the equation y = -4/7x^2 - 6, what is the vertical shift?

• Down 6

• Up 6

• Right 6

• Left 6

How do you determine the horizontal shift from a description?

• By the value of 'k'

• By the value of 'h'

• By the sign of 'a'

• By the value of 'a'

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CCSS.HSF-IF.C.7A

If a parabola is described as shifting right 15, what is the value of 'h'?

• 30

• -15

• 0

• 15

What is the equation in vertex form for a parabola that stretches by 4/3 and shifts up 21?

• y = 4/3(x + 15)^2 + 21

• y = 4/3(x - 15)^2 - 21

• y = 4/3(x + 15)^2 - 21

• y = 4/3(x - 15)^2 + 21

Tags

CCSS.HSF-IF.C.7A

What is the primary focus of the video?

• Solving linear equations

• Understanding vertex form

• Converting to standard form

• Graphing cubic functions

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CCSS.HSF-IF.C.7A