Identify Function Transformations

Identify the transformation.

• Reflect over x-axis

• Reflect over y-axis

• Reflect over line y=x

• Shift down 1 unit

What is the transformation from the red to the blue function?

• Horizontal compression

• Horizontal stretch

• Reflection over the x-axis

• Horizontal Shift

What is the transformation from the red function to the blue function?

• Reflection over the y-axis

• Horizontal compression

• Horizontal Stretch

• Reflection over the x-axis

What is the transformation of the blue function to the red function?

• Vertical Stretch

• Reflection over the x-axis

• Horizontal Shift

• Reflection over the y-axis

What is the transformation from the black function to the blue function?

• Reflection over the x-axis

• Horizontal Stretch

• Horizontal Shift

• Vertical compression

What is the transformation from the black function to the red function?

• Reflection over the x-axis and horizontal compression

• Reflection over the y-axis and vertical stretch

• Horizontal stretch and Horizontal shift

• Horizontal Shift and Vertical Shift

What it the transformation from the red function to the blue function?

• Horizontal Stretch

• Vertical Compression

• Reflection over the y-axis

• Horizontal Shift

What is the transformation from the red function to the blue function?

• Horizontal Compression

• Reflection over the x-axis

• Vertical Shift

• Reflection over the y-axis

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Vertical Compression by a factor of 2

• Vertical Stretch by a factor of 2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Describe the transformation of y = f(x) for the new function
 y = - f(x)

• The graph of y = f(x) was flipped vertically across the x axis. 

• The graph of y = f(x) was flipped horizontally across the y axis.

• The graph of y = f(x) was shifted down.

• The graph of y = f(x) was shifted up