2-5

A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• f(x) = 3(x - 1)² - 18

• f(x) = -6(x - 1)² + 6

• f(x) = 6(x - 3)² - 18

• f(x) = -3(x + 1)² - 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write y = x² - 18x + 52 in vertex form.

• y = (x - 9)² + 113
• y = (x + 9)² - 29
• y = (x - 9)² + 52
• y = (x - 9)² - 29

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

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Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?

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Tags

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which quadratic function in vertex form can be represented by the graph that has a vertex at (-8, -5) and passes through the point (-13, 5)?

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Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Which function’s graph has a vertex at (-1, 7) and contains the point (3, -25)?

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Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.REI.D.10

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6
• y= -(x-1)²-6
• y= (x+1)²-6
• y= -(x+6)²-1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142
• f(x) = (x + 6)² - 34
• f(x) = (x + 6)² - 38
• f(x) = (x + 6)² + 34

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Convert the equation

f(x) = x² - 12x + 40

into vertex form

• f(x) = (x + 6)² - 4

• f(x) = (x + 6)² + 4

• f(x) = (x - 6)² - 4

• f(x) = (x - 6)² + 4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8