Question

What is the vertex of the graph of f(x) = |x + 5| – 6?

(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)

Answer 1

The vertex of the graph f(x)= lx+5l-6 is...
(-5,-6)
This is because of the picture above.

Hope this helps

Answer 2

(–5, –6)

Explanation:

The given function is a transformation of the base function
`y=|x|`.

We can observe that was added 5 units to the x, that is, a negative translation through the horizontal axis. So, our function is located at x = -5, because a horizontal translation to the left is when we add to the x certain units.

Then, we observe that the function subtracted 6 units to the vertical variable, that is, the function is translated 6 units downside.

Therefore, our functions is locate in (-5;-6), it starts there, which is the vertex.