Question

Select the graph that correctly represents f(x) = –(x + 1)^2 – 3.

Answer 1

Hey there!

The third graph, with a maximum at (-1, -3) is the correct choice.

Let me know if this helps :)

Answer 2

see below

Explanation:

f(x) = –(x + 1)^2 – 3

We know that this is a parabola in the form

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

where ( h,k) is the vertex

y = -1( x- -1)^2 + -3

a is negative so the parabola opens downward

( -1,-3) is the vertex