Select the ordered pairs that represents a solution to the functions below. F (x) = - x^2 + 5. F (x) = x^2+5.

(0,5)

Step-by-step explanation:

(1) y = - x² + 5

(2) y = x² + 5

2y = 10 Added (1) and (2)

(3) y = 5 Divided each side by 2

5 = x² + 5 Substituted (3) into (2)

0 = x² Subtracted 5 from each side

x = 0 Took the square root of each side

The only ordered pair that represents a solution to both functions is (0, 5).

The graph of the second function is an upward-opening parabola (y = x²) translated up five units.

The graph of the first function is a downward-opening parabola (y = - x²) translated up five units.

The two graphs meet at their common vertex, (0, 5).