Determine the quadratic function f whose graph is given.

Question

The vertex is (2,-3) and the other given point is (1,-1)

f(x)= ?

Answer 1

-1 = a(1-2)^2 -3

a = (3-1)/1^2

a = 2

y = 2(x-2)^2 -3 is the quadratic equation through the two given points