8.2 Quick Check: Quadratic Function (Vertex Form)

Which of the following is a transformation of the graph y = (x - 5)² ? 

• Shifts right 5.
• Shifts left 5.
• Shifts up 5.
• Shifts down 5.

What is the vertex of the function   y = (x - 3)² + 5

• (-3, 5)
• (3, -5)
• (-3, -5)
• (3, 5)

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

• y = -2
• x = 3
• x = -3
• y = 2

What is the domain of the function y = x² + 3?

• All Real Numbers
• x>3
• x<3
• It is impossible to determine.

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Which of the following is a transformation of the graph y = 3x².

• Shifts up 3.
• Shifts left 3.
• Vertical stretch by a factor of 3.
• Shifts right 3.

• y = -(x + 1)² - 4
• y = -(x + 1)² + 4
• y = -(x - 1)² - 4
• y = (x + 1)² + 4

Given: y = 2(x - 5) + 6, the vertex is

• (2, -5)
• (-5, 6)
• (2, 6)
• (5, 6)

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

• Maximum
• Minimum
• Not enough information