# Algebra Examples

Move to the right side of the equation because it does not contain a variable.

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.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify the expression.

Divide 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 .

Divide 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.

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.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify the expression.

Divide 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 .

Divide 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.

Add and to get .

Add and to get .

Divide each term by to make the right side equal to .

Simplify each term in the equation in order to set the right side equal to . The standard form of an ellipse or hyperbola requires the right side of the equation be .