Question

Which set of systems of equations represents the solution to the graph?

an upward opening parabola decreasing from negative 3 comma 8 to a minimum at negative 1 comma 4 and then increasing to 1 comma 8 and a downward opening parabola increasing from negative 2 comma 1 to a maximum at 0 comma 5 and then decreasing through the point 1 comma 4

f(x) = –x2 + 2x + 5
g(x) = x2 + 5

f(x) = –x2 + 2x – 5
g(x) = x2 + 5

f(x) = x2 + 2x – 5
g(x) = –x2 + 5

f(x) = x2 + 2x + 5
g(x) = –x2 + 5

Answer 1

The correct set of systems of equations that represents the solution to the graph is:

f(x) = –x^2 + 2x + 5
g(x) = x^2 + 5