Simplify each term.

Combine and .

Combine and .

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.

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of and .

Rewrite as .

Move the negative in front of the fraction.

Combine and .

Simplify the expression.

Divide by .

Divide by .

Multiply by .

Combine and .

Move the negative in front of the fraction.

Multiply .

Multiply by .

Multiply by .

Find the value of using the formula .

Simplify each term.

Simplify the numerator.

Apply the product rule to .

Raise to the power of .

Apply the product rule to .

One to any power is one.

Raise to the power of .

Simplify the denominator.

Multiply by .

Combine and .

Multiply by .

Divide by .

Multiply the numerator by the reciprocal of the denominator.

Move the negative in front of the fraction.

Multiply .

Multiply and .

Multiply by .

Multiply .

Multiply 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=-1/2x^2-1/4x