Answer:
square root function; y = -√(x + 2) - 1
Step-by-step explanation:
the graph shown is a square root function
the parent of a square root function is y = √x
you transform this equation using y = a√(x - h) + k
it is reflected across the x axis so you put the negative before the a
since there is no dilation the a is blank
y = -√(x - h) + k
the h is the horizontal shift
it went 2 to the left so that is -2
that makes it y = -√(x - -2) + k
which is also y = -√(x + 2) + k
the k is the vertical shift
it went 1 down
that makes it y = -√(x + 2) - 1
that is your equation