Math Clip Art--Quadratics Concepts--Intro to Quadratics 08

Topic

Quadratics

Description

This math clip art image demonstrates another important scenario in quadratic equations: if a parabola intersects the x-axis once, then the quadratic equation has one solution. The visual shows a parabola touching the x-axis at a single point, known as the vertex of the parabola.

This representation helps students understand the concept of a single, repeated root in quadratic equations. It visually explains why some quadratic equations have only one solution, which occurs when the parabola just touches the x-axis without crossing it. This scenario is often referred to as a "tangent" point.

Using math clip art to illustrate this concept is particularly effective as it provides a clear visual distinction between equations with one solution and those with two. It helps students connect the algebraic concept of a repeated root with its graphical representation, making the abstract idea more concrete and understandable.

Teacher's Script: "Now, look at how this parabola is different from the last one. It's just touching the x-axis at one point -- its vertex. When we see a graph like this, it tells us our quadratic equation has only one solution, but it's repeated twice. Can you think of why this might be called a 'double root' or a 'repeated root'?"

For a complete collection of math clip art related to Quadratics click on this link: Quadratics Collection.