Question

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

A.) The graph of f(x) is horizontally compressed.
B.) The graph of f(x) is horizontally stretched.
C.) The graph of f(x) opens upward.
D.) The graph of f(x) opens to the right.

Answer 1

A)

Explanation:

FS On Edge 2020

Answer 2

A.) The graph of f(x) is horizontally compressed.

EXPLANATION

The given absolute value function is

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

The parent function is

`y = |x|`

Since the factor -6 has an absolute value greater than 1, the graph of the given function will be narrower than the graph of the base function.

Hence the graph is horizontally stretched by a factor of 6.

The graph opens downwards because of the negative sign.

It has vertex at (-5,-2)