# Trigonometry Examples

Find the Vertex y^2=-9/8x
Rewrite the equation in vertex form.
Isolate to the left side of the equation.
Rewrite the equation as .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Simplify the left side.
Cancel the common factor of .
Move the leading negative in into the numerator.
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply.
Multiply by .
Multiply by .
Simplify .
Combine and .
Move to the left of .
Complete the square for .
Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Substitute the values of and into the formula .
Simplify the right side.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Multiply by .
Multiply by .
Find the value of using the formula .
Simplify each term.
Raising to any positive power yields .
Simplify the denominator.
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Multiply by .
Multiply by .
Multiply by .