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What is a Parabola?

Q: What are parabolas?

A: Parabolas are conic sections. The standard form is

The vertex is located at (p,q)

♦  Note that (x-p) means that the x-coordinate of the vertex is p ♦  Conversely, (x+p) means that the x-coordinate of the vertex is at -p

a is the ‘slope’ of the parabola, determining . . . → Read More: What is a Parabola?

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 . To generate a table of values, simply substitute different values of x to obtain the corresponding value of y. . . . → Read More: Graphing a Parabola

Changing the value of p in Parabola equation y=a(x-p)^2+q

Q: What happens if I change the value of p?

A: p is the x-coordinate of your vertex. If it changes, the parabola will shift left or right.

Note that the general equation for a parabola is

(x-p) means:

if you have a positive p value, the result will be (x-p) if you . . . → Read More: Changing the value of p in Parabola equation y=a(x-p)^2+q