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. (-1,5)
B. (3,-2)
C. (3,7)
D. (5,5)

Answer 1

To get from the vertex (3,2) to the point (1,5) you must go left 2 up 3. Find another point on the parabola by going right 2 up 3 from the vertex.

Answer 2

Give the vertex we know \(y=a(x-3)^2+2\)

Use the other point to solve for \(a\).

\(5=a(1-3)^2+2\).

Solve for \(a\) and plug that into \(y=a(x-3)^2+2\)