The quadratice function is given as;
and the graph of the f(x) is given as;
the second function g(x) is express as; g(x) = 1/2x + 2
Since the function have highest degree one, so this is the linear equation and the graph of g(x) will be linear.
Now, for the coordinates of g(x);
Substitute x = 0
then, g(0) = 1/2(0) + 2
g(0) = 2
Thus, coordinate (0,2)
substitute x = 2
then g(2) = 1/2 (2) + 2
g(2) = 3
thus, coordinate (2,3)
Plot the point (0,2) and (2,3) on the graph!!
The solution of the both graph is the point where the both the curve meet.
In the graph, it is visible that;
Point (2,3) and (-2.5,0.75) are the intersecting point.
Thus, (2,3) and (-2.5, 0.75) are the solution of the system of equation
In the given option (2,3) is available at C
So, (2,3) is the right answer
Answer : C) (2,3)