Quadratic Function Transformations

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical shift 4 units up
• a vertical shift 4 units down
• a horizontal shift 4 units to the left
• a horizontal shift 4 units to the right

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

• Vertical Shrink/Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

What is the vertex of the following equation?
y=5(x-3)²+5

• (3,5)
• (-3,5)
• (3, -5)
• (-3,-5)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What equation represents the quadratic function?

• y = (x - 8)²
• y = (x + 8)²
• y = x² - 8
• y = x² + 8

Tags

CCSS.HSF-IF.C.7A

What equation represents the quadratic function?

• y = (x - 5)² - 3
• y = (x - 5)² + 3
• y = (x + 5)² - 3
• y = (x - 3)² - 5

Tags

CCSS.HSF-IF.C.7A

What equation represents the quadratic function?

• y = -(x - 5)² 
• y = -x² + 5
• y = x² - 5
• y = (x - 5)² 

Tags

CCSS.HSF-IF.C.7A

y=2x²-6x+1 is in what form?

• Vertex Form
• Factored form
• Standard Form 
• Cannot be determined

Tags

CCSS.HSA.SSE.B.3

What is the axis of symmetry?

• the slope of the graph
• the dividing line for a parabola
• a way to spin my pencil
• the x-axis

What is the range of this function?

• All real numbers.
• All real numbers greater than or equal to 0.
• All real numbers greater than or equal to -2.
• All real numbers greater than or equal to 2.

Tags

CCSS.8.F.A.1

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