Question

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

Answer 1

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.