Characteristics of Quadratic Functions

Which of the following functions have a vertex at (-5, 6)?

• y = 3(x - 5)² + 6

• y = 3(x + 5)² + 6

• y = 3(x + 6)² - 5

• y = 3(x - 6)² - 5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

Which of the following equations as vertical shrink by a factor of  $\frac{1}{4}$  ?

•  $y\ =\ 4\left(x\ +\ 2\right)^2-9$  

•  $y=\left(x-1\right)^2+4$  

•  $y=\frac{1}{4}\left(x+3\right)^2$  

•  $y=x^2+\frac{1}{4}$  

Tags

CCSS.HSF.BF.B.3

Select ALL of the transformations for the graph.

• Reflected over the x-axis

• Vertical shift up 5.

• Vertical shift left 3.

• Horizontal shift left 3.

• Horizontal shift right 3.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which of the following graphs match the equation  $y=2\left(x-8\right)^2-2$  ?

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Tags

CCSS.HSF-IF.C.7A

Which of the following graphs has 2 solutions?

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• 
• 

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.REI.C.7

What is the axis of symmetry for the function  $y=\frac{1}{3}\left(x-4\right)^2+1$  ?

• x = 4

• x = -4

• x = 1

• x = -1

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of the graph shown?

• $y>3$

• $y\ge-3$

• $y<-3$

• $y\le3$

Tags

CCSS.HSF-IF.C.7A

Which of the following graphs represents the equation  $y=\frac{1}{2}x^2+3?$  

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Tags

CCSS.HSF-IF.C.7A

Describe the shape of the quadratic function shown.

• Wide

• Narrow

• Normal

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the root(s) of the function.

• (-3, 5)

• (-3, 0)

• (1, -8)

• (5, 0)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3