Transformation

Transformation

Multiple Choice

Describe the transformation that occurred

m(x) = f(x + 1)

• Left 1 Unit

• Right 1 unit

• vertical stretch

• up 1 unit

Multiple Choice

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• Up 7

• Right 7

• vertical compression

Multiple Choice

Describe the transformation from dotted to solid.

• f(x + 5) + 3
• f(x +3) + 5
• f(x - 5) + 3
• f(x - 3) + 5

Multiple Choice

Which equation below is a quadratic function translated up 5 units?

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

Multiple Choice

 $\sqrt{-x}+3$  What transformation occurs

• Reflection in the x axis and shift up 3

• Reflection in the y axis and shift up 3

• Reflection in the x axis and shift down 3

• Reflection in the y axis and shift down 3

Multiple Choice

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

Multiple Choice

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Multiple Choice

What is the transformation of:

 $f\left(t\right)\ =\left|\frac{1}{12}t-4\right|+1$  

• Reflection over the x-axis, shift 4 unit to the right and 1 unit up

• Horizontal stretch, shift 4 unit to the right and 1 unit up

• Vertical stretch, shift 4 unit to the left and 1 unit up

• Horizontal stretch, shift 1 unit to the left and 4 unit up

Multiple Choice

Describe the transformation that occurred

s(x) = 7f(x)

• vertical compression

• Up 7 Units

• Over 7 Units

• vertical stretch

Multiple Choice

The blue function is the parent function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Multiple Choice

Describe the transformation that occurred

g(x) =2f(x)

• Up 2 units

• vertical compression

• vertical stretch

• Right 2 Units

Multiple Choice

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units
• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units
• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units
• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Multiple Choice

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

• Reflect over y-axis
  Left 3
• Reflect over y-axis
  Right 3
• Reflect over x-axis
  Left 3
• Reflect over x-axis
  Right 3