The graph of the absolute value function can be seen in the image below.
How to graph the absolute value function?
Here we have the absolute value function:
h(x) = -|x + 2| + 4
To graph it we need 3 points, one at the vertex x = -2
h(-2) = -|-2 + 2| + 4 = 4
So the point is (-2, 4)
And other two points at the right and left of x = -2, I will use x = 0 and -4.
h(-4) = -|-4 + 2| + 4 = 2
h(0) = -|0 - 2| + 4 = 2
Then we have the points (0, 2) and (-4, 2)
Now to graph the function just connect the point (-2, 4) with (0, 2) and with (-4, 2) using two rays. The graph can be seen below.
If you want to learn more about absolute value functions:
https://brainly.com/question/3381225
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