There are two reasons for converting a quadratic function from standard form `y=ax^2+bx+c` to vertex form `y=a(x-h)^2+k` . Either you are trying to solve for x for a specific y-value (usually zero) or you are trying to find the vertex of the parabola (either to help with graphing or find a maximum or minimum).

In this case, you are trying to find the vertex.

If a parabola is in vertex form `y=a(x-h)^2+k` , then the vertex is `(h,k)` . Notice that the h-value is the opposite sign of what is inside the brackets.

This means that in your case,

`y=5(x-1)^2+2`

has a vertex at (1,2). Take the number inside the brackets, and change the sign. That is, -1 changes to 1 for the x-value of the vertex. The y-value of the vertex is the last number of the vertex form, in this case 2.

**The vertex of the parabola is (1,2).**