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Graphing a Parabola

Q: What if I don’t have an Equation Solver, how do I graph a parabola?

A: The easiest way is to make a table of values. To keep things simple, let’s look again at y=x^2. To generate a table of values, simply substitute different values of x to obtain the corresponding value of y.
Try x=1: y=(1)^2


x=2: y=(2)^2


x=3: y=(3)^2


And so on. Note that a negative number, when squared, becomes positive:
which is why we need to include pm for each number.

The table of values can then be used to generate the graph by plotting the points (the red dots) and connecting them.
Parabola Table of Values copy