Vertex Form

Identify the vertex of the following quadratic function.

f(x) = (x - 3)² + 1

• (-3, 1)

• (-3, -1)

• (3, 1)

• (3, -1)

Write a quadratic function in standard form whose vertex is at the point (-1, 1) that opens down.

• f(x) = -2(x + 1)² + 1

• f(x) = -2(x - 1)² + 1

• f(x) = -2(x + 1)² - 1

• f(x) = 2(x - 1)² + 1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the range of the following quadratic function.

f(x) = -5(x + 1)² - 8

• (-∞, ∞)

• (-∞, 8)

• [8, ∞)

• (-∞, 8]

Identify the axis of symmetry of the following quadratic function.

f(x) = 12(x + 5)² - 1

• x = 1

• x = -5

• x = 0

• x = 5

Write a quadratic function in vertex form with vertex (-4, 6) that opens up

• f(x) = -2(x - 4)² + 6

• f(x) = (x + 4)² + 6

• f(x) = -2(x + 4)^{2 + 6}

• f(x) = (x - 4)² + 6

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

• Maximum
• Minimum

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

• y = -2
• x = 3
• x = -3
• y = 2

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

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

What is another word for zeros?

• y-intercepts

• x-interrcepts

• vertex

• axis of symmetry