Quadratics: Standard and vertex form

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a
• x = (-b ±√b² - 4ac)/2a
• y = ax² + bx + c
• y = a(x - h)² + k

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

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

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

• Standard Form
• Vertex Form
• Intercept Form

Convert to vertex form.

• y=3(x+1)² - 8
• y=3(x-1) ² - 8
• y=3(x+2)² - 8
• y=3(x-2)² - 8

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

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)

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

Fill in the blank: When we convert from standard to vertex form, the a value will ____________.

• Stay the same
• Be the same but negative
• Become the vertex
• Be squared

Tags

CCSS.HSA.SSE.B.3

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

• -a
• -b/a
• b/2a
• -b/2a

Tags

CCSS.HSA.REI.B.4

What is the constant that should be added to the expression to complete the square: x²+16x

• 16
• 8
• 64
• 32

Tags

CCSS.HSA-REI.B.4B

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