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# Quadratic Function Tutorial and Worksheet - Multiple Changes in the Parabola

A popular form of the quadratic function is:

y = ax2 + 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 = x2.

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

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

Jennifer Ledwith

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.

### 2. Worksheet

Practice these 10 exercises to reinforce the concepts from the tutorial.