How do you graph # y=5sin(x-30)#?

1 Answer
Dec 5, 2017

Answer:

Start with the basic #sin(x)# graph;
shift all points #30^circ# left to get #sin(x-30^circ)#;
then shift all points #5# time further away from the X-axis to get #5sin(x-30^circ)#

Explanation:

[I assumed the measures #x# and #30# were intended to be degrees; for the graphics software I use I need to express the argument of #sin# in terms of #pi# so I used the equivalence #30^circ=pi/6#]

Here is the step-by-step development:
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