Horizontals Translations

g(x)=f(x)+6

Describe the transformation to f(x) that results in g(x).

• f(x) has been translated up 6.

• f(x) has been translated down 6.

g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

 Choose the equation for the red graph.

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

If the blue is f(x)=x^2, then the red must be

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

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

In the function y=f(x)+k, what does "k" represent?

• vertical stretch or shrink
• reflection over the x-axis
• horizontal shift
  (left or right)
• vertical shift
  (up or down)

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

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5