Math Clip Art--Function Concepts--Properties of Functions 05

Topic

Functions

Description

This image depicts a quadratic function y = ax² with no linear or constant terms.

It shows a parabola intersecting at the origin, where the y-intercept equals the vertex. This visual representation helps students understand a special case of quadratic functions and how the absence of certain terms affects the graph's position and shape.

As part of the function properties collection, this image can be used to teach students about simplified quadratic functions. Teachers can use it to contrast with the previous standard form quadratic function, highlighting how the absence of 'b' 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 and shape.

The use of such math clip art is crucial in teaching functions as it provides a clear visual model for abstract concepts. It allows students to see the direct relationship between a simplified 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: "Now, let's look at this special quadratic function. Notice how our parabola goes right through the origin, just like our special linear function did earlier. Why do you think this happens? Look at the equation y = ax². What's different about it compared to our previous quadratic equation? That's right, there are no 'b' or 'c' terms. When there are no 'b' and 'c' terms, our parabola always passes through the origin, and the vertex is at the origin too. Can you think of any real-world situations where this type of function might be useful?"

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