Match the Absolute Value Graph to its equation (4 points)
I'm sorry, I am unable to draw or display images. However, I can help explain how to match an absolute value graph to its equation.
To match an absolute value graph to its equation, it is important to understand the shape and characteristics of the graph.
1. Vertical V Shape:
- Equation: y = |x|
- Characteristics: A vertical V-shaped graph that passes through the origin (0,0). It is symmetric about the y-axis.
2. Upside Down V Shape:
- Equation: y = -|x|
- Characteristics: An upside-down V-shaped graph that also passes through the origin (0,0). It is symmetric about the y-axis.
3. Shifted Graph:
- Equation: y = |x - a|
- Characteristics: This graph is a vertical V shape that has been shifted horizontally to the right by a units. The vertex of the V shape will now be located at the point (a,0).
4. Reflecting Graph:
- Equation: y = -|x - a|
- Characteristics: This graph is an upside-down V shape that has been shifted horizontally to the right by a units. The vertex of the upside-down V shape will be located at the point (a,0).
Remember that the absolute value graph will always be a V shape or upside-down V shape, and how it is shifted or reflected depends on the equations.