Step in solving and understanding absolute value graphs

1. Understand the definition of absolute value: The absolute value of a number is its distance from zero on the number line. It is always a positive value.

2. Understand the basic shape of the absolute value graph: The graph of y = |x| is a V-shaped graph with the vertex at the origin (0,0).

3. Identify key points on the graph: The vertex is at (0,0), and the graph extends upwards and downwards from there. The graph is symmetric about the y-axis.

4. Understand how to plot points on the graph: To plot points on the absolute value graph, first determine the value of the absolute value expression for the given x-value. If x is positive, then y = x. If x is negative, then y = -x.

5. Understand transformations of the absolute value graph: The absolute value graph can be shifted horizontally or vertically by adding or subtracting constants to the absolute value expression. It can also be stretched or compressed by multiplying the expression by a constant.

6. Practice graphing absolute value functions: Use the key points and transformations to graph absolute value functions, such as y = |x - 2| + 3 or y = -2|x + 1|.

By following these steps, you can solve and understand absolute value graphs more effectively.