How do you graph y= -3/4 sin ( pi/5 x) - 7/4?

1 Answer
Mar 13, 2018

In the description...

Explanation:

As we know a sinusoidal graph is basically of periodic nature with a certain amplitude and a period.
It doesn't matter if amplitude is negative.
So |(P)|=|-3/4|=3/4
Hence the graph will hit it's maximum at x+3/4 and x-3/4
Get the period by:
2pi/pi/5=10
The vertical transformation given is x=-7/4
So maximum points are -7/4+3/4 and -7/4-3/4
The pattern a sine wave is drawn is
Intercept-Max-Int-Min-Intercept
So, points are (0,-7/4)
(2.5,-7/4+3/4) (5, -7/4) (7.5,-7/4-3/4) and (10, -7/4)
Note that I divided the interval into 1/4 pieces so that each piece of left end point of interval will correspond to the pattern of graph. Now graph the function with an odd symmetry.