Question

Given the vertex (1,3) and point (4,10), write the equation of a quadratic function.​

Answer 1

f(x) = 7/9*(x-1)² + 3

Explanation:

vertex (1 , 3) : (h , k)

quadratic function: y = a(x-h)² + k

pass (4 , 10): 10 = a(4-1)² + 3

10 = 9a + 3

a = 7/9

Function: f(x) = 7/9*(x-1)² + 3