+4 Help please!! Graph f(x)=3sin(1/2x)−5. Use 3.14 for π. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
+118608 Help please!! Graph f(x)=3sin(1/2x)−5. Use 3.14 for π. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
See if this helps.
https://www.desmos.com/calculator/ual0qhrsqh
Here I have built the function starting with the parent graph of
step 1: f(x)=sinx
wavelength = 2pi
The graph is on the centre line at (0,0)
the centre line is y=0
Amplitude (hight from the centre line) =1
With each step click on the little circle to the left of the graph to make the graph visible.
step 2: f(x)=sin(x/2)
the only thing that has changed is the wavelength
It was 2pi now it is TWICE that. so it is 4pi
Nothing else has changed.
Step 3: f(x)=3sin(x/2)
The 3 will change the amplitude, ao amplituce is now 3.
Nothing else changes
Step 4: (x)=3sin(x/2) - 5
this drops the graph 5 units so that the centre line become y=-5
Nothing else changes.
Now I have built the graph that you want from the parent function f(x)=sinx
Please make an effort to understand what I have done.
You will need to play with the graph a bit.
Getting used to Desmos graphing calc will be an invaluable tool for you anyway.
You can finish the question for yourself now.
