Transformations of Linear and Absolute Value Functions

What are the three types of transformations introduced in the lesson?

• Translations, Rotations, and Scaling

• Translations, Reflections, and Rotations

• Translations, Scaling, and Rotations

• Translations, Reflections, and Vertical Stretching

How do you perform a horizontal translation of a function f(x) by H units?

• Add H to the output of the function

• Divide the output by H

• Subtract H from the input of the function

• Multiply the input by H

If H is less than zero in a horizontal translation, which direction does the function shift?

• Right

• Left

• Up

• Down

What happens to the function f(x) when you add K to the output?

• The function reflects over the y-axis

• The function reflects over the x-axis

• The function shifts vertically

• The function shifts horizontally

How do you reflect a function f(x) across the x-axis?

• Multiply the input by -1

• Add a negative sign to the output

• Add a negative sign to the input

• Multiply the output by -1

What is the result of reflecting the function f(x) = |x| across the x-axis?

• -|x|

• |-x|

• -x

• |x|

In a vertical stretch, what happens to the function f(x) when multiplied by a factor greater than 1?

• The function shifts horizontally

• The function reflects over the y-axis

• The function stretches vertically

• The function shrinks vertically

What is the effect of multiplying the input of a function by a factor less than 1?

• Vertical shrink

• Vertical stretch

• Horizontal shrink

• Horizontal stretch

How do you perform a horizontal stretch on the function h(x) by a factor of 2?

• Divide the output by 2

• Multiply the input by 2

• Divide the input by 2

• Multiply the output by 2

What is the first step in combining multiple transformations?

• Perform the translation first

• Perform the reflection first

• Perform the stretch first

• Perform the shrink first