A popular form of the quadratic function is:

y=ax^{2}+bx+c

What happens when *a* and *c* change? Don't fret if you're on your last sheet of graph paper. This article teaches how to look at the equation of the function to pinpoint any variations from the parent function, *y* = *x*^{2}.

To test your knowledge, be sure to continue with the worksheet and the answers.

### 1. Tutorial - What happens when a and c change?

In each example, you are presented with the graphs of 2 quadratic functions.

Determine the difference between the graphs.

Differences to choose from:

A. Graph shifts up

B. Graph shifts down

C. Graph opens wider

D. Graph opens more narrow

E. Graph rotates 180 degrees

Note: Each example will have at least 2 differences.