Question

Identify the vertex of the quadratic function:
f(x) = -(x - 2)2 – 3

Answer 1

(2, -3)

Explanation:

`f(x)=a(x-h)^2+k` vertex form of equation with vertex (h, k)

`\left \big{f(x)=a(x-h)^2+k}\atop \big{f(x)=-(x-2)^2-3}\right\}\implies a=-1\,,\ h=2\,,\ k=-3`

So vertex of f(x) = - (x - 2)² - 3 is (2, -3)