How do you graph y= -3/4 sin ( pi/5 x) - 7/4y=−34sin(π5x)−74?

1 Answer
AJ
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|(P)|=∣∣∣−34∣∣∣=34
Hence the graph will hit it's maximum at x+3/4x+34 and x-3/4x−34
Get the period by:
2pi/pi/52ππ/5=1010
The vertical transformation given is x=-7/4x=−74
So maximum points are -7/4+3/4−74+34 and -7/4-3/4−74−34
The pattern a sine wave is drawn is
Intercept-Max-Int-Min-Intercept
So, points are (0,-7/4)(0,−74)
(2.5,-7/4+3/4)(2.5,−74+34) (5, -7/4)(5,−74) (7.5,-7/4-3/4)(7.5,−74−34) and (10, -7/4)(10,−74)
Note that I divided the interval into 1/414 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.

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