Matthew Soon's answer to Yos's Secondary 4 E Maths Singapore question.
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Here's a step by step in graphical translation:
1) standard sine graph (remember x is up to 4pi so you have 2 cycles)
2) x changes to x/2, means your number of cycles is halved.
3) negative sign outside sine function; invert the graph
4) multiplied by 3; amplitude increases to 3
5) add 1; moves graph up y-axis by 1 unit
Hope this helps with the rest of the questions for you.
1) standard sine graph (remember x is up to 4pi so you have 2 cycles)
2) x changes to x/2, means your number of cycles is halved.
3) negative sign outside sine function; invert the graph
4) multiplied by 3; amplitude increases to 3
5) add 1; moves graph up y-axis by 1 unit
Hope this helps with the rest of the questions for you.
Date Posted:
3 years ago
Remember to label your graph when you sketch it as an answer; I didn't label here because I am demonstrating the changes (and my equations are listed on the left side). Cheers!
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