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

see below

Step-by-step 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

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.