Worksheet 3.9 - Quadratic Standard Form to Vertex Form

Determine the vertex of the parabola y=5(x-2)²–7

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry of the function

y = (x + 5)² - 12

• x = 5

• x = -5

• x = -12

• x = 12

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

The axis of symmetry for the quadratic function

f(x) = y=2(x-6)² - 9 is wriiten as

• x = -9

• x = 9

• x = -6

• x = 6

Convert to vertex form. f(x) = 4x² - 32x +2

• y=4(x+4)² - 62

• y=4(x-4)² - 62

• y=4(x-8)² - 62

• y=4(x+8)² - 62

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert to vertex form.

• y=-(x-5)² + 21
• y=-(x+5)² + 21
• y=-(x+10)² + 21
• y=-(x-10)² + 21

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Convert to vertex form. y = -2x² + 24x + 5

• y=-2(x+12)² + 77

• y=-2(x-12)² + 77

• y=-2(x-6)² + 77

• y=-2(x+6)² + 77

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7