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.

emilyyz Jan 26, 2021

#1**+2 **

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.

Melody Jan 26, 2021