Question

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

Answer 1

Answer:

(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).