# Precalculus Examples

Move all variables to the left side and all constants to the right side.

Use the form , to find the values of , , and .

Consider the vertex form of a parabola.

Find the value of using the formula .

Multiply by to get .

Multiply by to get .

Find the value of using the formula .

Simplify each term.

Multiply by to get .

Raise to the power of to get .

Multiply by to get .

Subtract from to get .

Substitute the values of , , and into the vertex form .

Substitute for in the equation .

Move to the right side of the equation by adding to both sides.

Reorder and .

Use the form , to find the values of , , and .

Consider the vertex form of a parabola.

Find the value of using the formula .

Multiply by to get .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Find the value of using the formula .

Simplify each term.

Multiply by to get .

Simplify the numerator.

Remove parentheses around .

One to any power is one.

Simplify the denominator.

Remove parentheses.

Multiply by to get .

Multiply by to get .

Subtract from to get .

Substitute the values of , , and into the vertex form .

Substitute for in the equation .

Move to the right side of the equation by adding to both sides.

Write as a fraction with denominator .

Multiply by .

Multiply and to get .

Combine the numerators over the common denominator.

Combine the numerators over the common denominator.

Multiply by to get .

Add and to get .

Add and to get .

Factor out of .

Cancel the common factor.

Rewrite the expression.