Question:
Graph
Solution:
To solve this problem, we use the function transformations on the value absolute function (the original function) :
Consider the value absolute function f(x) = I x I :
Now, if we apply a horizontal shift of the original function f(x) = I x I, such that we want to shift the original function to the right 2 units, we get the function f(x) = I x-2 I, and its graph is:
Finally, if we reflect the above graph in the x-axis, we must multiply it for -1. Then, we get the function f(x) = -I x-2 I, and its graph is:
Then, the correct graph of the given function is:
