Question 1175921
Vertex form: y = a(x-h)^2 + k


We know the vertex is (4, 1), so plug that in:


y = a(x - 4)^2 + 1



The quadratic passes through (3, 5), so plug that in as well:


5 = a(3 - 4)^2 + 1

a = 4



The equation of the quadratic is {{{y = 4(x-4)^2 + 1}}}.