March 14th, 2017, 02:37 AM  #1 
Newbie Joined: Mar 2017 From: Manila Posts: 3 Thanks: 0  Graph of sine function
 How would I graph 5 3sin (2x) Thanks! 
March 14th, 2017, 03:52 AM  #2 
Senior Member Joined: Jun 2015 From: England Posts: 509 Thanks: 130 
I assume you understand how to plot this graph by calculation so are you studying curve sketching? 1) Identify the variables  these show the shape of the graph. 2) Identify the constants  these move the curve about on the graph paper up and down  and squash or stretch the curve. So the variable is x and the curve is a sine curve. But it is squashed along the horizontal or x axis by the constant 2 since it crosses zero and reaches max and min twice as often . So what are the x values for these points? Also it is stretched vertically or along the y axis by the constant 3. The negative sign tells you that the sine curve is flipped over about the x axis. Finally the 5 tells you that it is shifted vertically up by 5 so the resulting wiggle is along the line y = 5, rather than the line y = 0 or the x axis. 
March 15th, 2017, 02:06 AM  #3 
Newbie Joined: Mar 2017 From: Manila Posts: 3 Thanks: 0 
Thank you! That helps.


Tags 
function, graph, sine 
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