What is the graph of #f(x) = 2x^2 - 3x + 7#?
To graph a quadratic equation we first need to factorise it into a different form.
First we check what the discriminant is equal to
In this case
Here I have completed the square
Remove factor from
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