How to Reflect Linear Functions

This video tutorial covers the concept of reflecting linear functions over the X and Y axes. It explains how reflections change the graphical representation of functions and provides three methods for performing these reflections: algebraically, using a table of values, and by reflecting points. The video includes practice exercises to reinforce the concepts and demonstrates how to write the reflected functions in slope-intercept form.

What is the main objective of learning about reflecting linear functions?

• To identify the slope of a linear function.

• To explore how to stretch and shrink graphs.

• To learn how to rotate graphs around a point.

• To understand how to flip graphs over a line of reflection.

When reflecting a function over the X-axis, what happens to the outputs?

• They remain unchanged.

• They are multiplied by -1.

• They are added to the inputs.

• They are divided by 2.

Which method is NOT used to reflect a function over the X-axis?

• Graphical rotation

• Algebraic method

• Table of values

• Reflecting points

In the practical application of reflecting over the X-axis, what is the slope of the reflected function G?

• 1/2

• -2

• -1/2

• 2

What changes when reflecting a function over the Y-axis?

• The outputs are multiplied by -1.

• The inputs are multiplied by -1.

• The slope is doubled.

• The Y-intercept is halved.

Which of the following is a correct representation of a function reflected over the Y-axis?

• Y = F(-X)

• Y = -F(X)

• Y = -F(-X)

• Y = F(X)

In the practical application of reflecting over the Y-axis, what is the Y-intercept of the reflected function G?

• 3

• 1

• -1

• -3

What is the slope of the function G after reflecting over the Y-axis?

• 2

• -1/2

• -2

• 1/2

Which method is NOT used to reflect a function over the Y-axis?

• Reflecting points

• Algebraic method

• Table of values

• Graphical rotation

What is the result of multiplying all inputs by -1 in a function?

• Reflection over the Y-axis

• No change

• Rotation around the origin

• Reflection over the X-axis