Determine the quadratic function f whose graph is given.

Question

Determine the quadratic function f whose graph is given.

The vertex is (3,-12)

and the ​y-intercept is -3.

Answer 1

y=(x-3)² - 12

Note: since the vertex is (3, -12), the equation must be y = A(x-3)² - 12

and then

-3 = A(9) - 12 => A=1