Vertex Form of Quadratic Functions

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.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.
• Shifts right 4.
• Shifts up 4.
• Shifts down 4.

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given:  

 $y=2\left(x-5\right)^2+6$   

 the vertex is:

• (2, -5)

• (-5, 6)

• (2, 6)

• (5, 6)

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

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

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.C.7

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

Tags

CCSS.HSF-IF.C.7A