Topic 2: Quadratic Functions and Equations

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF-IF.C.7A

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.8.F.A.1

CCSS.8.F.A.2

CCSS.8.G.A.3

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

What is the domain of the function  $y=x^2+3$  

• All Real Numbers

•  $x\ge3$  

•  $x\le3$  

• It is impossible to determine.

Tags

CCSS.HSF.IF.B.5

What is the range of the function  $y=x^2+3$  

• All Real Numbers

•  $x\ge3$  

•  $x\le3$  

•  $x\ge1$