### How does it work?

Option 1: Just fill in the form with your homework question, and someone will respond shortly with an answer.

Option 2: Take a photo (or link) of your question, and email or text it to us.

### Like us? ## 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

## What is the Quadratic Equation?

Q: What is the Quadratic Formula?

A: This is a very useful formula to remember, because it means you may never have to factor ever again!

Given a quadratic in standard form, ,

the Quadratic Formula allows you to solve for x, without factoring!.

The formula is:

Let’s try an example:

Solve . . . → Read More: What is the Quadratic Equation?