Q: What are parabolas?
A: Parabolas are conic sections. The standard form is
The vertex is located atÂ (p,q)
â™¦ Â Note that (x-p) means that the x-coordinate of the vertex is p â™¦ Â Conversely, (x+p) means that the x-coordinate of the vertex is at -p
a is theÂ ‘slope’ of the parabola, determining . . . → Read More: What is 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
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
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