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Graph of a Quadratic Function

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.

Contact the Maths Support Centre

James Joyce Library, University College Dublin, Belfield, Dublin 4, Ireland.
T: +353 1 716 7536 | E: msc@ucd.ie