<u>ANSWER</u>
Option C.
<u>EXPLANATION</u>
The first equation is

We can easily graph this straight line because it has a slope of 1 and a y-intercept of -2.
The second equation is

This is a graph of a quadratic function. If we write this in vertex form, we can easily graph it using transformations.
We complete the square to get the function to the vertex form as follows:


This quadratic graph has its minimum point (vertex) at (3,-1).
<h3>
<u>Points of intersection</u></h3>
To find the point of intersection of the two graphs, we equate the two functions and solve for x.

We rewrite in standard form

Factor to obtain

The solutions are

When x=2, y=2-2=0
This gives (2,0) as a point of intersection.
When x=5, y=5-2=3.
This gives us (5,3) as another point of intersection.
The correct answer is option C.