Please help with this math equation

Below are suppose the be the questions:

A. factor the equation

B. graph the parabola

C. identify the vertex minimum or maximum of the parabola

D. solve the equation using the quadratic formula

Below are the answers:

Vertex form is most helpful for all of these tasks.

Let

.. f(x) = a(x -h) +k ... the function written in vertex form.

A) Factor:

.. (x -h +√(-k/a)) * (x -h -√(-k/a))

B) Graph:

.. It is a graph of y=x^2 with the vertex translated to (h, k) and vertically stretched by a factor of "a".

C) Vertex and Extreme:

.. The vertex is (h, k). It is a maximum if "a" is negative; a minimum otherwise.

D) Solutions:

.. The quadratic formula is based on the notion of completing the square. In vertex form, the square is already completed, so the roots are

.. x = h ± √(-k/a