Graphing Parabolas

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.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.SSE.B.3

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Tags

CCSS.HSG.GPE.A.2

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Tags

CCSS.HSF.IF.B.4

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the x-intercepts of the function?

y=(x-4)(x-2)

• x=4 and x=2

• x=-4 and x = -2

• x = 4 and x= -2

• x = -4 and x = 2

Tags

CCSS.HSF-IF.C.7C

Find the root form equation for:

y = 2x²- 16x + 30.

• y = 2 (x-8)(x+15)

• y = 2 (x+3)(x+5)

• y = 2 (x-3)(x-5)

What are the x-intercepts of the following equation?
y=(x+4)(x-7)

• x=4 and x=7
• x=28 and x=-28
• x=-4 and x=7
• x=4 and x=-7

Tags

CCSS.HSF-IF.C.7C