Transformation Rules Functions

• Reflected across the x-axis

  2 Units Up

• Reflected across the x-axis

  2 Units Down

• Reflected across the y-axis

  2 Units Up

• Reflected across the y-axis

  2 Units Down

• Vertically Stretched by a factor of 3

• Vertically Compressed by a factor of 3

• Horizontally Stretched by a factor of 3

• Horizontally Stretched by a factor of 3

• Reflected across the x-axis

  4 Units Left

• Reflected across the x-axis

  4 Units Down

• Reflected across the y-axis

  4 Units Left

• Reflected across the y-axis

  4 Units Down

What does the equation \(g\left(x\right) = f\left(x\right)-4\) do to the graph of f(x)?

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

Describe the transformation that occurred

m(x) = f(x + 1)

• Left 1 Unit

• Right 1 unit

• vertical stretch

• up 1 unit

Given g(x) = f(x-3) + 5. What transformations took place from the original function f(x)?

• Left 3 up 5

• Right 3 down 5

• Left 3 down 5

• Right 3 up 5

The function f(x) is represented by the table below. What are the corresponding

values of g(x) for the transformation

g(x) = 6f(x)?

• 
• 
• 
• 

• Left

• down

• Right

• up

• Left

• down

• Right

• up

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.