Transformations & Parent Functions

Choose the correct translated function.

• f(x)= |x|+2
• f(x)= |x|-2
• f(x)= -|x|
• f(x)= -|x|+2

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)² 

• shifted up five units
  reflection in x-axis
• shifted down five units
  reflection in x-axis
• shifted left 5 units
  reflection x-axis
• shifted right 5 units
  reflection x-axis

• Square Root
• Quadratic
• Cube Root
• Cubic

What transformations happen to the function h(x) = -1/4 |x - 8| ?

• Shrink by a factor of -1/4, left 8

• Shrink by a factor of -1/4, right 8

• Reflect across y-axis, shrink 1/4, left 8

• Reflect across x-axis, shrink 1/4, right 8

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

• Vertical stretch by a factor of 5
• Vertical shrink/compress by a factor of 5
• Reflect over x-axis
• Vertical shift up 5 units

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Tags

CCSS.HSF.BF.B.3

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

What is the domain of the graph above?

• (-∞,∞)
• (-∞,2]
• [4,∞)
• [2,∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3