Question

Find the vertex of the graph of the function. f(x) = (x + 4)2 - 1

Answer 1

Answer:

The vertex of the function is at point (-4,-1).

Step-by-step explanation:

Given function:

$f(x)=(x+4)^2-1$

Solution:

The vertex form of a function is given by:

$f(x)=a(x-h)^2+k$

where $(h,k)$ is the vertex of the function. At this point the function has the maximum or minimum value.

Writing the given function in the vertex form.

$f(x)=(x-(-4))^2+(-1)$

On comparing the above function with the standard form we find that:

$a=1\\h=-4\\k=-1$

Thus, the vertex of the function is at point (-4,-1)