Math Clip Art--Function Concepts--Graphs of Functions and Relations--Horizontal Parabola 1

Topic

Functions

Description

This clip art depicts a horizontal parabola, which is a relation rather than a function. Unlike vertical parabolas, horizontal parabolas fail the vertical line test, as there are multiple y-values for some x-values. This graph represents a quadratic relation in the form x = ay² + by + c.

Horizontal parabolas are important in understanding the broader concept of conic sections and how the orientation of a graph affects its classification as a function or relation. They have practical applications in physics, such as in describing the path of projectiles under ideal conditions.

Visualizing horizontal parabolas helps students grasp concepts like symmetry, vertex, and the effects of transformations on graphs. It's an excellent tool for comparing and contrasting with vertical parabolas and discussing the nature of inverse relations.

Teacher's Script: "Notice how this parabola opens sideways. Can you locate its vertex? Let's discuss why this isn't a function. How does this differ from the parabolas you're more familiar with? Can you think of any real-world examples that might follow this shape?"

For a complete collection of math clip art related to Functions and Relations click on this link: Graphs of Functions and Relations Collection.