Answer:
y = x^2 -4x +5
Explanation:
There are an infinite number of such equations. If we choose the leading coefficient to be 1, then we can find the other coefficients from ...
y = x^2 +bx +c
2 = 1^2 +b(1) +c ⇒ b + c = 1
10 = 5^2 +b(5) +c ⇒ 5b +c = -15
Subtracting the first equation from the second gives ...
(5b +c) -(b +c) = (-15) -(1)
4b = -16
b = -4
c = 1 -b = 1 -(-4) = 5
The quadratic function could be ...
y = x^2 -4x +5