Through the point (- 3,2), the vertex is (- 2,3) to find the quadratic function analytic formula

Through the point (- 3,2), the vertex is (- 2,3) to find the quadratic function analytic formula

Let the quadratic function be y = a (X-H) ^ 2 + K
Because the vertex is (- 2,3)
So h = - 2, k = 3
We get y = a (x + 2) ^ 2 + 3
Substituting (- 3,2) into 2 = a + 3, a = - 1
So y = - (x + 2) ^ 2 + 3