Answer:
D
Step-by-step explanation:
The standard form of a quadratic function is
y = ax² + bx + c : a ≠ 0
Substitute the 3 points into the equation to solve for a, b and c
(0, - 5 ) : 0 + 0 + c = - 5 ⇒ c = - 5
(-1, - 3 ) : a - b - 5 = - 3 ⇒ a - b = - 3 + 5 = - 2 → (1)
(1, 5 ) : a + b - 5 = 5 ⇒ a + b = 5 + 5 = 10 → (2)
Add (1) and (2) term by term to eliminate b
2a = 12 ⇒ a = 6
substitute a = 6 into (2)
6 + b = 10 ⇒ b = 10 - 6 = 4
a = 6, b = 4 and c = - 5, Hence equation is
y = 6x² + 4x - 5 → D
