Question

Write the quadratic function in vertex form. Then identify the vertex.

g(x)= x²−4x−1

g(x)=

Vertex: ( , )

Answer 1

Answer:

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

$g(x) = (x^2 - 4x + ...) - 1\\g(x) = (x^2-4x+(\frac{4}{2})^2 ) - 1 - (\frac{4}{2})^2 \\g(x) = (x-2)^2 - 5$

This is in the form

$y = a(x-h)^2 + k\\(h, k)$

So, the vertex is (2, -5)

and $g(x) = (x-2)^2-5$