Given the equations:
[tex]\begin{gathered} f(x)=2x^2-8x+3 \\ g(x)=-2x+3 \end{gathered}[/tex]We will graph the function f and g on the same set of axes
The graph will be as shown in the following picture:
As shown the blue graph represents f(x) and the red line represents the function g(x)
There are two points of intersection between f(x) and g(x)
As shown the points are: ( 0, 3 ) and ( 3, -3 )
