Write an algebraic equation that matches the graph:

y = -|x + 2| + 1
Steps:
y = a|x - h| + k
a is reflections across x-axis & vertical shrink or stretch
h is opposite of horizontal shift
k is vertical shift
a = -1 because the function opens downward but doesn't have any vertical shrink or stretch
h = -2
k = 1
plug in a, h and k
y = -1|x + 2| + 1
since a is a multiplier and equals -1, you don't need to show the 1, but you need to show the negative
y = -|x + 2| + 1