The correct transformation of the graph is (a) the graph of f(x) = |x| was shifted to the left 2 units, down 5 units.
How to determine the correct transformation of the graph
From the question, we have the following parameters that can be used in our computation:
f(x) = |x + 2| - 5
The above is a transformed absolute value function
The parent of this function is
y = |x|
When shifted left by 2 units, we have
y = |x + 2|
When shifted down by 5 units, we have
y = |x + 2| - 5
Hence, the transformation is (a)
Question
Choose the correct transformation of the graph f(x) = |x + 2| - 5
A. The graph of f(x) = |x| was shifted to the left 2 units, down 5 units.
B. The graph of f(x) = |x| was shifted to the right 2 units, down 5 units.
C. The graph of f(x) = |x| was shifted to the left 2 units, up 5 units.
D. The graph of f(x) = |x| was shifted to the right 2 units, up 5 units.