The equation of the graph show is given as
f(x) = x^2
Which can also be given as:
f(x) = x^2 - 12x + 17
Based on its form, it is a parabola.
First, we will factor the quadratic equation.
f(x) = (x - 9)(x - 3)
To lot the graph on x-y plane, we will generate a table by assigning values to x and then get the y values.
x y
1 16
2 7
3 0
0 27
-1 40
-2 55
-3 72