Question

select the correct answer.

which points define the solution set of this linear - quadratic system of equations?

a. point a and point b
b. point d and point f
c. point c and point e
d. point b and point d

Explanation:

Step1: Recall solution of system

The solution to a linear - quadratic system of equations is the set of points where the linear graph (straight line) and the quadratic graph (parabola) intersect.

Step2: Identify intersection points

Looking at the graph, the red line (linear) and the blue parabola (quadratic) intersect at point C and point E. Point A is only on the linear line, point B is on the quadratic and linear? No, wait, point B is on the quadratic and x - axis, point D is on the quadratic and y - axis, point F is on the quadratic and x - axis. The intersection points of the two graphs (linear and quadratic) are C and E.

Answer:

C. point C and point E