Explore how changes in the [b]quadratic expressions[/b] coefficients a, b, and c [b]affect the shape [/b]of its graph. We will start by looking at each one in turn before trying to determine what happens as 2 or more or changed at a time. Activity will take upwards of 5 minutes.

[b]Note for a.[/b] While you explore what happens as you change a, the quadratic coefficient, you will need to develop the concept of [b]concavity [/b]and add this word to your working vocabulary[b].[/b] Both circles and this shape, called a [b]parabola[/b] or the simplest cases of concavity in maths.Every [b]parabola [/b]has an[b] axis of symmetry[/b]and a[b] vertex[/b][b]. [/b]Its sign determines whether it is an [b]open up[/b] or an [b]open down[/b] shape and its magnitude determines how curvy it is. [url=https://www.mathsisfun.com/calculus/concave-up-down-convex.html]Learn more about concavity here[/url]