Graph an absolute value equation with a horizontal and vertical shift and vertical stretch

The video tutorial explains how to graph an absolute value equation by identifying transformations, determining the vertex, and using a table to plot points. It covers the effects of different parameters on the graph, such as vertical stretching and shifting, and demonstrates how to reflect points over the axis of symmetry. The tutorial concludes with a complete graph of the equation.

What effect does the coefficient '2' have on the graph of the absolute value equation?

• It compresses the graph vertically.

• It vertically stretches the graph.

• It shifts the graph horizontally.

• It reflects the graph over the x-axis.

How do the constants '1' and '-6' affect the graph of the equation?

• They shift the vertex of the graph.

• They determine the slope of the graph.

• They stretch the graph horizontally.

• They reflect the graph over the y-axis.

What is the new vertex of the graph after applying the transformations?

• (-1, -6)

• (0, 0)

• (1, -6)

• (-1, 6)

Why is using a table beneficial when graphing an absolute value equation?

• It helps in finding the slope of the graph.

• It allows for easy identification of the axis of symmetry.

• It provides a method to reflect points over the x-axis.

• It simplifies the calculation of the vertex.

What pattern should be followed when plotting points from the vertex?

• Over one, down two

• Over one, up two

• Over two, down one

• Over two, up one