Answer:
y = 2(x-2)^2+5
Step-by-step explanation:
Vertex form is y - h = a ( x - k ) ^ 2, where (h,k) is the vertex.
the vertex of the quadratic function is (2,5)
Plug the numbers into the equation which gives you y - 5 = a( x-2)^2
Bring over the five and you have y = a(x-2)^2 +5
That narrows down your options to two answers. The graph opens upward, so the value of a is positive. That leaves one option y = 2(x-2)^2+5.
