Graphs of Quadratic Transformations

Which equation is shown?

• y = (x-2)²
• y = (x+2)²

Tags

CCSS.HSF-IF.C.7A

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

How did we transform from the parent function?

g(x) = -1/5(x - 1)² + 7

• reflection across the y-axis, vertical compression by 1/5, right 1, up 7

• reflection across the x-axis, vertical compression by 1/5, right 1, up 7

• reflection across the y-axis, vertical stretch by 1/5, right 1, up 7

• reflection across the y-axis, vertical compression by 1/5, left 1, down 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which of the following graphs represents the quadratic function above?

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Tags

CCSS.HSF-IF.C.7A

Which of the following graphs represents the quadratic function above?

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• 

Tags

CCSS.HSF-IF.C.7A

Which of the following graphs represents the quadratic function above?

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• 

Tags

CCSS.HSF-IF.C.7A

Which of the following graphs represents the quadratic function above?

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• 

Tags

CCSS.HSF-IF.C.7A

Describe the transformations:

 $y\ =\left(x\ +\ 5\right)^2\ -\ 7$  

• Left 7, Up 5

• Right 5, Down 7

• Left 5, Down 7

• Right 7, Up 5

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up
• down

Tags

CCSS.HSF-IF.C.7A

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10