Convert Standard form to Vertex form

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

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

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the vertex of 
f(x) = -x² - 4x + 12

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the y intercept for the equation:
y = -8x² + 3x - 7

• (0, -8)
• (0, 3)
• (-8, -7)
• (0, -7)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry of the given function?

• y = 1
• y = -1
• x = 1
• x = -1

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

The parabola y = x² - 2x + 4 will have an x-coordinate of

• x = -2

• x = 1

• x = -1

• x = 2

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A