Question

Assume the graph of a function of the form y=a sin(k( x+ b)) is given below. Which of the following are possible values for a,k, and b?
(Graph Below)

A. a=4, k=2, and b = -pi/4
B. a=4, k=2, and b = pi/4
C. a=4, k=1/2, and b = -pi/4
D. a=2, k=4, and b = pi/4

I know for a fact it is either A or B. I am stuck on whether or not the b has an opposite sign change

Answer 1

Without the phase change, it will be to the left of your graph. We want to move it to the right. When you move right, it's negative values, and left is positive values.

Answer 2

So we would get A as the final answer?

Answer 3

Yeah, it'd be A

Answer 4

Thank you! I need to stop over complicating stuff ;)

Answer 5

\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]