Select the ordered pairs that represents a solution to the functions below. F(x)= - x^2 +5.F(x)=x^2+5.
1 answer:
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).
You might be interested in
Answer:
-7, 15
Step-by-step explanation:
The positive difference between E and G is 11.
<h3>Solution</h3>G - E = 11
G = 11 + E = 11 + 4
G = 15 . . . . . . . . . . . . . when G is right of E
__
E - G = 11
E - 11 = G = 4 - 11
G = -7 . . . . . . . . . . . . when G is left of E
Possible coordinates for G are -7 and 15.
