Writing Quadratic Equations in Vertex and Standard Form

What is the equation, in vertex form, for this parabola?

• y=2(x-5)²+3

• y=(x+5)²+3

• y=2(x+3)²+5

• y=(x-3)²+5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the value of a in the equation for this parabola?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSG.GPE.A.2

Which answer shows a correct first step for finding the equation of the parabola?

• -6 = a(-1 + 2)² - 9

• 9 = a(-2 - 1)² - 6

• -6 = a(-1 + 9)² - 2

• -9 = a(-2 + 1)² - 6

Tags

CCSS.HSG.GPE.A.2

What is the value of a in the equation of this parabola?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSG.GPE.A.2

What is the value of a in the equation for this parabola?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSG.GPE.A.2

Which answer shows the correct first step for finding the value of a for this parabola?

• -5 = a(-4 + 6)² - 1

• -3 = a(-4 + 4)² - 5

• -1 = a(-2 + 4)² - 5

• -4 = a(-3 + 5)² - 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What is the equation in vertex form for this parabola?

• y = -4(x +1)² -5

• y = -1/4(x +1)² -5

• y = -1/2(x +1)² -5

• y = -2(x +1)² -5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is y = 2(x - 8)² + 7 changed to standard form?

• y = 2x² - 32x + 135

• y = 2x² - 16x + 64

• y = 2x² - 32x + 128

• y = 2x² - 32x + 142

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the equation for this parabola in standard form?

• y = -2x² - 6x + 2

• y = -x² - 6x - 9

• y = -x² -3x - 7

• y = -2x² -12x - 25

Tags

CCSS.HSA.REI.B.4

CCSS.HSG.GPE.A.2

Convert y = -(x - 9)² + 6 to standard form.

• y = x² + 18x - 75

• y = x² - 18x + 81

• y = -x² + 18x - 75

• y = -x² - 18x - 87

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3