Translating Trig Equations

 $y=3\sin2\left(x-\frac{\pi}{3}\right)+5$  
What number represents the amplitude in this equation?

 $y=3\sin2\left(x-\frac{\pi}{3}\right)+5$   
What is the horizontal stretch factor for this equation?

 $y=3\sin2\left(x-\frac{\pi}{3}\right)+5$   
In which direction does this graph shift horizontally?

 $y=3\sin2\left(x-\frac{\pi}{3}\right)$   
In which direction does this graph shift vertically?

 $y=3\sin2\left(x-\frac{\pi}{3}\right)$   
What is the period of this equation?

The maximum of the sine curve is at the point (0, 6) and the minimum is at the point (3, -2).  What is the amplitude of the equation?

The maximum of the sine curve is at the point (0, 6) and the minimum is at the point (2, -2).  What is the principal axis of the equation?

Write a sine equation for the graph.

(a)  

Write a cosine equation for the graph.

(a)  

A sine function has maximums at (0, 4) and  $\left(\pi,4\right)$  and a principal axis of y = 2, what is the function's equation?

(a)