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 .

Divide by .

Divide by .

Multiply by .

Add and .

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

Set equal to the new right side.

Use the vertex form, , to determine the values of , , and .

Find the vertex .

Find the Vertex y=-3/2x^2