# Precalculus Examples

Find the Standard Form of the Parabola
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Add to both sides of the equation.
Step 3
Divide each term in by and simplify.
Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
Step 3.2.1
Cancel the common factor of .
Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Divide by .
Step 3.3
Simplify the right side.
Step 3.3.1
Simplify each term.
Step 3.3.1.1
Multiply the numerator by the reciprocal of the denominator.
Step 3.3.1.2
Multiply .
Step 3.3.1.2.1
Multiply by .
Step 3.3.1.2.2
Multiply by .
Step 4
Factor.
Step 4.1
To write as a fraction with a common denominator, multiply by .
Step 4.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 4.2.1
Multiply by .
Step 4.2.2
Multiply by .
Step 4.3
Combine the numerators over the common denominator.
Step 4.4
Move to the left of .
Step 4.5
Reorder terms.