True or false? The graph of y = 4sin(x + 3) - 2 is obtained by shifting the graph of y = 4sin x - 2 horizontally 3 units to the right.

Question

asked Jul 14, 2017 57.3k views

2 Answers

Jonathan Irvin · Answer 1 · 2017-07-14T19:17:36+0000

Answer: This is false.

Explanation:

The general function equation is,

$y=a\cdot \sin b(x+c)+d$

where,

period is
$(2\pi)/(b)$ ,

horizontal shift or phase shift is c,

amplitude is a,

vertical shift is d.

The original equation of graph is,
$y=4\sin (x)-2$

After shifting the equation of graph is,
$y=4\sin (x+3)-2$

As per question, when we are adding 3 in original equation of graph then the graph shifted horizontally to the left by 3 units.

Alsk · Answer 2 · 2017-07-17T15:39:05+0000

FALSE.

The effect of adding +3 to the argument of a function f(x) is to shift the original f(x) horizoantally 3 units to the left.