Find the coordinates of the vertex for the parabola defined

Find the coordinates of the vertex for the parabola defined by the given quadratic function.

Thanks in advance

Solution

The vertex form of the equation of a parabola is y = f(x) = a( x - h)² + k . The coordinates of the vertex of this parabola are (h , k). Here, h = 3 and k = 1. Therefore, the coordinates of the vertex of the given parabola f (x) = 2(x - 3)² + 1 are ( 3, 1)