# Find the Vertex Form f(x)=2x^2+1/2x+8 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.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Multiply .
Multiply and .
Multiply by .
Find the value of using the formula .
Simplify each term.
Simplify the numerator.
Apply the product rule to .
One to any power is one.
Raise to the power of .
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Multiply and .
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 .
Subtract from .
Substitute the values of , , and into the vertex form .
Set equal to the new right side.
Find the Vertex Form f(x)=2x^2+1/2x+8