Question

Which graph correctly solves the system of equations below? y = x2 + 2x + 3 y = −x2 + 3

Answer 1

y = 2x2 − 3 y = −x2 one quadratic graph opening down and one quadratic graph opening up. They intersect at 1, negative 1 and negative 1, negative 1. one quadratic graph opening up and one quadratic graph opening ...

Answer 2

Graphs are attached for both solutions.

Explanation:

Using a graphing calculator, we can graph both equations and then find the solutions.

The solutions to the system of equations will be the points of intersection of the graphs. There are two points of intersection, so there are two solutions. One of them is at (0, 3); the other is at (-1, 2).