Multiple Representations of Quadratic Functions

Given f(x) = x² + 12x - 10, which diagram represents a correct way to convert it into vertex form?

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Which equation represents the vertex form of the function f(x) = x² + 10x + 45 ?

• f(x)= (x +10)² - 55

• f(x)= (x - 10)² + 55

• f(x)= (x + 5)² + 20

• f(x)= (x+5)² - 20

Which function represents the standard form of the function f(x) = (x + 6)(x + 10)

• f(x) = x² + 60x + 16

• f(x) = x² + 16x + 60

• f(x) = (x + 8)² - 4

• f(x) = (x + 8)² + 4

Which function represents the standard form of the function

• f(x) = x² + 60x - 7

• f(x) = x² + 7x - 60

• f(x) = (x + 3.5)² - 72.25

• f(x) = (x + 7)² + 109

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Tags

CCSS.HSF-IF.C.7A

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Tags

CCSS.HSF-IF.C.7A

The output is the square of the input

• x=y^2

• y=2x

• y=x-2

• y=x^2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The mapping below represents y as a quadratic function of x.

Which representation shows the same relationship between x and y?

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Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which of the following represents a quadratic function?

Which of the statements about the graph is FALSE?

• The vertex is a maximum

• There are two zeros at x = -3 and x = 3

• The y-intercept is (0, 18)

• The range is y ≥ 18

Tags

CCSS.HSF-IF.C.7A