The true statement about f(x) = -6|x + 5| - 2 is 'the graph of f(x) is a horizontal compression of the graph of the parent function.'
What is an horizontal compression?
"It is the squeezing of the graph toward the y-axis."
For given question,
We have been given a function f(x) = -6(|x + 5|) - 2
The parent function of f(x) is the function g(x) = |x|
Consider the graph of both the functions as shown below.
From the figure we can observe that,
- The graph of f(x) is a horizontal compression of the graph of the parent function g(x).
- The graph of f(x) opens downward.
Therefore, the true statement about f(x) = -6(|x + 5|) - 2 is 'the graph of f(x) is a horizontal compression of the graph of the parent function.'
Learn more about the horizontal compression here:
https://brainly.com/question/18389885
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