Which statement is true about f(x) = -6|x + 5| - 2?
The graph of f(x) is horizontally compressed.
The graph of f(x) is horizontally stretched.
The graph of f(x) opens upward.
The graph of f(x) opens to the right.

Solution:

Given function is

f(x) = -6|x + 5| - 2

Let us take a few sample values of x and plot the graph. Let us graph taking the absolute values using the vertex and a few selected points.

The horizontal line is the x-axis and the vertical line is the y-axis.

As we can see in the graph, f(x) is horizontally compressed.

Thus the graph of f(x) is horizontally compressed.

Which statement is true about f(x) = -6|x + 5| - 2?

Summary:

The statement that the graph stretches horizontally is true for the f(x) = -6|x + 5| - 2.