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UCD Maths Support Centre

Graph of a Quadratic Function

This interactive GeoGebra worksheet allows you to see what the graph of y=ax2+bx+c looks like for values of a, b and c between -5 and 5 by moving the sliders. Have a go and see what happens!

You should note that if a is positive then the graph is U-shaped, if a is negative then the graph is shaped like an upside down U and if a is zero then the graph is a straight line. The value of a also affects the steepness of the graph; the larger the absolute value of a, the steeper the graph. Also note that whatever the values of a and b are, the value of c gives the y-coordinate of the point where the graph cuts the y-axis.

If you want to return the sliders to their original positions, then simply click on the icon in the top right hand corner of the worksheet.