Determine the quadratic function

Question

Determine the quadratic function f whose graph is given.

The vertex is (1,-4) and the other given point is (2,-2).

Answer f(x)=

Answer 1

y = a(x-h)² + k

y = a(x-1)² -4 with (h,k) = (1,-4)

Then through (2,-2)

-2 = a(2-1)² -4

-2 = a - 4

a = 2

The formula is y = 2(x-1)² -4