+ The vertex of a parabola is (3,2), that means the parabola's equation is y=a(x-3)²+2 + A second point on the parabola is (1,5) and we replace x=1 and y=5. We have: 5=a(1-3)²+2 , so we have 4a=5-2 or a=3/4 So the equation is y=3/4 (x-3)²+2
And by checking we have the point (5;5) is on the parabola Have fun
