Standard to Vertex Forms

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

Tags

CCSS.HSA.CED.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

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)

Which equation has a vertex of (-3, 4)? Hint: (the vertex is (h,k))

• y = 2(x+3)² + 4

• y = (x+3)² - 4

• y = (x-3)² + 4

• y = 2(x - 3)² + 4

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

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=2
• x=-2
• x=4

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

Tags

CCSS.HSA.REI.B.4

What is the formula to find the axis of symmetry of a parabola?

• x = -b/2

• x = -b

• x = -b / (2a)

• x = -b / 2