How to graph an absolute value equation by applying the transformations to the vertex

The video tutorial explains how to graph the absolute value equation y = |x - 6| + 1 by identifying transformations such as shifts in the graph. It begins with an introduction to graphing absolute value equations and the importance of recognizing transformations. The tutorial then focuses on how the vertex of the graph shifts due to changes in the equation, specifically highlighting the role of H and K in the vertex form. Finally, it covers graphing the equation without the influence of A or B, maintaining the same slopes as the parent graph.

What is the first step in graphing an absolute value equation?

• Finding the vertex

• Identifying the slope

• Calculating the y-intercept

• Identifying transformations

In the equation y = |x - 6| + 1, what are the values of H and K?

• H = -6, K = 1

• H = 0, K = 0

• H = 1, K = 6

• H = 6, K = 1

How does the vertex of the graph change when H and K are applied?

• The vertex remains at the origin

• The vertex moves left by K and up by H

• The vertex moves right by H and up by K

• The vertex moves left by H and down by K

What is the slope of the lines from the vertex in the graph of y = |x|?

• Over 2, up 2

• Over 1, up 2

• Over 1, up 1

• Over 2, up 1

How do you find additional points on the graph after determining the vertex?

• Move over 2, up 2 from the vertex

• Move over 1, up 1 from the vertex

• Move over 1, up 2 from the vertex

• Move over 2, up 1 from the vertex