Graph y=3sin(4x) Include min, max, and intercepts. Label with points on the unit circle.
To graph the function
we may apply transformation of function. Since it is a sine function, the parent function is y=sinx. (See first image for the graph of y=sinx.)
Then, express the given function in the form y =Asin(Bx -C)+D.
So it becomes:
`y=3sin(4x - 0) + 0`
Then, apply the formula:
Since the values of A=3, B=4, C=0 and D=0, then, the given function would have the following properties:
Vertical Shift =0
Then, use these to transform the graph of y=sinx.
See second image for the graph of y=3sin(4x).
Notice that in the graph, the maximum points occur at `(pi/8+pi/2k,3)` .
The minimum points occur at `((3pi)/8+pi/2k,-3)` .
And the x-intercepts occur at `(0,0)` , `(pi/4+pi/2k,0)` and `(pi/2+pi/2k,0)` .