# Find the Vertex y=-1/2x^2-1/4x Rewrite the equation in vertex form.
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 .
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     