the graph of y = 4sin(x + 3) - 2 is obtained by shifting the graph of y = 4sin x - 2 horizontally 3 units to…

Explanation:

Step1: Recall horizontal shift rule

For a function $y = f(x)$, the graph of $y=f(x + c)$ ($c>0$) is a horizontal shift of the graph of $y = f(x)$ to the left by $c$ units. Here, $f(x)=4\sin x - 2$, and we go from $y = 4\sin x-2$ to $y = 4\sin(x + 3)-2$. Since we have $x$ replaced with $x + 3$, according to the rule of horizontal - shifts of functions.

Answer:

A. True