# What is the graph of #f(x) = 2x^2 - 3x + 7#?

##### 1 Answer

To graph a quadratic equation we first need to factorise it into a different form.

First we check what the discriminant is equal to

Where

In this case

Because it is less than zero it can't be factored normally

Therefore we must use the The Quadratic Formula or Completing the Square

Here I have completed the square

Remove factor from

Take

Add and then subtract this number inside the equation

Combine the first three terms in a perfect square

Equate left over terms

Multiply coefficient back in

This gives a turning point of

and a