Question

The vertex of a parabola is (3,2). A second point on the parabola is (1,5).which of the following points is also on the graph?

a.(3,-2)
b. (3,7)
c. (-1,5)
d. (5,5)

Answer 1

+ 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