Set the polynomial equal to to find the properties of the parabola.

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 .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Find the value of using the formula .

Cancel the common factor of and .

Rewrite as .

Apply the product rule to .

Raise to the power of .

Multiply by .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Subtract from .

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 7x^2-7x