Let’s plot the points on the graph that satisfy 
. That is, for each value of 
plot 
.
The integer values are easy to consider. By plotting points at increments of 
we see the form of a parabola.
Every quadratic function of the form 
has this same shape. However, the coefficients 
and 
alter the position and steepness of the parabola.
Use the sliders below to create a variety of parabolas. Try this identify parabola task.
What’s a parabola good for?
Spend some time exploring this prezi to find out a lot more about a parabolas.