Drawing Quadratic and Cubic Graphs Math Review

math tutorials > drawing quadratic and cubic graphs


The plotting of quadratic and cubic graphs is a vast topic and can be done in various ways.  The aim of this tutorial is to introduce you to the 2 types of graphs and the tabular method of drawing them (as we did for straight line graphs).


Quadratic Graphs

The equation for a quadratic graph can be written as  

Quadratic graph


a, b, and c are constants.
y has the power of 1.
x has a maximum power of 2.

The graphs of quadratic equations are called parabolas.




These are all parabolas:



Drawing the graph


Drawing a graph



Parabola problems for you to try



Cubic Graphs.

Cubic graphs are in the form  

Cubic graphs


a, b, c and d are constants.
y has a power of 1.
x has a maximum power of 3.



Cubic formulas


Draw the graph


Drawing cubic graphs

Cubic graph


Cubic graph problems for you to try




You can calculate the intercepts of parabolas and cubics in the same way as for straight lines.
For the x-intercept, put y = 0.  (A parabola may have 2 x-intercepts, a cubic 3).
For the y-intercept, put x = 0.