We want to match the given function with its graph. We begin by noticing that the given function is a of the form
y=a(x−h)2+k, where
h represents a horizontal and
k represents a .
y=(x+1)2−1⇕y=(x−(-1))2+(-1)
In our case, we have
h=-1 and
k=-1. This means that the graph of
y=f(x+1)−1 is obtained by translating the graph of
y=f(x) to the left
1 unit and down
1 unit.
Thus, we conclude that the correct answer is option A.