Learn how to graph an absolute value equation with a horizontal compression

The video tutorial explains how to graph an absolute value equation, focusing on transformations, creating a table of values, and understanding the effects of multiplying the equation by a constant. It covers the concepts of horizontal compression and vertical stretching, providing tips for graphing and ensuring the vertex remains unchanged. The tutorial concludes with practical advice for graphing absolute value equations effectively.

What is the effect of adding or subtracting a number inside the absolute value on the graph?

• It stretches the graph vertically.

• It shifts the graph vertically.

• It shifts the graph horizontally.

• It compresses the graph horizontally.

How do you determine the y-value when creating a table of values for an absolute value equation?

• By subtracting the x-value from the equation.

• By adding the x-value to the equation.

• By multiplying the absolute value of x by the given factor.

• By dividing the absolute value of x by the given factor.

What is the purpose of reflecting points over the axis of symmetry in graphing?

• To find the vertex of the graph.

• To complete the graph on both sides of the axis.

• To determine the slope of the graph.

• To identify the x-intercepts of the graph.

What happens to the graph of an absolute value equation when it is horizontally compressed?

• The graph becomes wider.

• The graph becomes narrower.

• The graph shifts to the left.

• The graph shifts to the right.

How does the multiplication factor in an absolute value equation affect the graph?

• It determines the vertical shift.

• It determines the horizontal stretch or compression.

• It determines the horizontal shift.

• It determines the vertical stretch or compression.