Math Clip Art--Function Concepts--Properties of Functions 06

Topic

Functions

Description

This image shows a quadratic function in the form y = ax² + c.

It highlights the square term and indicates there is no linear term. The graph is a parabola with its vertex at the y-intercept. This visual representation helps students understand another special case of quadratic functions and how the absence of the linear term affects the graph's position and shape.

As part of the function properties collection, this image can be used to teach students about quadratic functions without a linear term. Teachers can use it to compare with the standard form quadratic function and the simplified y=ax² form, highlighting how the presence of only the 'a' and 'c' terms affects the graph. This comparison helps students understand the role of each term in the quadratic equation and how they influence the parabola's position, particularly the relationship between the vertex and y-intercept.

Using math clip art like this is essential in teaching functions as it provides a clear visual model for abstract concepts. It allows students to see the direct relationship between an equation and its graph, making the learning process more intuitive. This visual approach is particularly beneficial for students who struggle with algebraic representations, as it offers an alternative way to understand and remember key concepts about quadratic functions.

Teacher's Script: "Let's examine this interesting quadratic function. Notice how our parabola's lowest point (or highest point if 'a' is negative) is right on the y-axis. Why do you think this happens? Look at the equation y = ax² + c. What's different about it compared to our previous quadratic equations? That's right, there's no 'b' term. When there's no 'b' term, our vertex is always on the y-axis, and it's the same as our y-intercept. How do you think changing the 'c' value would affect our graph?"

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