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Positive and Negative Parabolas

Q: What is the difference between a positive and a negative parabola?

A: The sign (+ or -) of the a value determines if the parabola opens upwards or downwards.

Let’s compare the graphs of , where a=+1 and , where a=-1. . . . → Read More: Positive and Negative Parabolas

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

Inverse of a Parabola

Find the inverse of

Step 1: Re-write the function so that y replaces f(x):

Step 2: Swap the values of y and x. This means, anywhere there is an x, make it y, and anywhere there is a y, make it x.

Step 3: Re-arrange the formula so that y is . . . → Read More: Inverse of a Parabola