Characteristics and Transformations of Quadratic Graphs

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A1.FBF.3

What is the vertex of the quadratic function shown?

• (1, -4)

• (-2, -5)

• (-1, -4)

• (2, -5)

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A1.FIF.7

A line about which a figure is symmetric is the:

• Solution Set
• Intercept Formula
• Quadratic Function
• Axis of Symmetry

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A1.FIF.7

Does this quadratic graph have a maximum or a minimum and what is the max/min value?

• max y = 4

• min y = 4

• max at x = 1

• min at x = 1

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CCSS.HSF-IF.C.7A

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

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A1.FBF.3

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

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A1.FBF.3

Describe the transformation: y=-3(x-2)²-4.

*Mark all that apply.

• reflection across x-axis

• VS by factor of 3

• VC by factor of 3

• down 4

• right 2

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A1.FBF.3

Write the equation of this transformation: reflection across x-axis, left 2, down 5

• y= -(x+2)²+5

• y= -(x+2)²

• y= (x-2)²-5

• y= -(x+2)²-5

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A1.FBF.3

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

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CCSS.HSG.GPE.A.2

What is the axis of symmetry?

• x= 0 and x=4

• x = -2

• x = 0

• x= 2

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A1.FIF.7