Question

Which set of systems of equations represents the solution to the graph? F(x)=-x^2x+3 g(x)=-x^2+3

Answer 1

(c) f(x) = x² +2x +3; g(x) = -x² +3

Explanation:

You want the system of equations represented by the graph.

Opening downward

The parabola opening downward is one that has been reflected over the x-axis, then shifted upward by 3 units. Its equation will be ...

y = -x² +3 . . . . . . . . the minus sign is the reflection, the +3 is the translation

Only one answer choice include this equation:

Choice C

• f(x) = x² +2x +3
• g(x) = -x² +3