# Find the Vertex Form f(x)=-1/3x^2+3x-6

Set the polynomial equal to to find the properties of the parabola.
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.
Simplify the denominator.
Multiply by .
Combine and .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Find the value of using the formula .
Simplify each term.
Raise to the power of .
Simplify the denominator.
Multiply by .
Combine and .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Multiply .
Multiply by .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .