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### Like us? ## 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

## Completing the Square

Q: What is completing the square?

A: Completing the square is a technique used to convert from general form, , to standard form, . Why do we need to convert? Standard form is much easier to graph as a parabola.

Let’s look at some examples:

Write each function in the form

a)

. . . → Read More: Completing the Square

## Completing the Square when a doesn’t equal 1

b) Convert to standard form by completing the square:

Step 1: In this case, a=2, so we need to do something different: factor out the 2, but only for the x terms:

Now take half of the b term (in this case, b=2) and square it.

Step 2: Important: Add that . . . → Read More: Completing the Square when a doesn’t equal 1

## Completing the square when a is negative

c)Convert to standard form by completing the square:

Step 1: In this case, a=-2, so factor out the -2 term, but only for the x terms:

Now take half of the b term (in this case, b=(3/2)) and square it.

Step 2: Important: Add that number to the equation inside the . . . → Read More: Completing the square when a is negative