Question

in the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function f(x)=2(x - 8)^2 - 4. the vertex is (type an ordered pair).

Explanation:

Step1: Recall vertex - form of parabola

The vertex - form of a parabola is \(y = a(x - h)^2+k\), where \((h,k)\) is the vertex of the parabola.

Step2: Identify \(h\) and \(k\) values

For the function \(f(x)=2(x - 8)^2-4\), comparing with \(y = a(x - h)^2+k\), we have \(h = 8\) and \(k=-4\).

Answer:

\((8,-4)\)