Using transformations and a table to graph absolute value equations

The video tutorial explains how to graph using table values, focusing on identifying the axis of symmetry and plotting the vertex. It demonstrates the process of finding the axis of symmetry by setting the absolute value expression to zero and solving for X. The tutorial also covers plotting points to the left and right of the axis and highlights the symmetry in graphing. The instructor provides tips for efficient plotting and concludes with a summary and questions.

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

• Identify the axis of symmetry

• Determine the x-intercept

• Find the y-intercept

• Calculate the slope

How do you find the vertex of the graph?

• By finding the midpoint of the x-intercepts

• By finding the average of the y-values

• By setting the derivative to zero

• By plugging the axis of symmetry into the equation

What is the y-coordinate of the vertex when x equals -3?

• 3

• 0

• 6

• -3

What is the relationship between points on either side of the axis of symmetry?

• They are unrelated

• They are symmetrical

• They are opposite

• They are identical

What shape does the graph form after connecting the plotted points?

• A V-shape

• A circle

• A straight line

• A parabola