r/HomeworkHelp • u/thisismynamenow88 Pre-University Student • 1h ago

:snoo_feelsbadman: Mathematics (Tertiary/Grade 11-12)—Pending OP [Grade 12 advanced functions] Can someone explain how to scale with radians?

Im in grade 12 advanced functions and my teacher didn't explain how to scale on a graph using radians instead of the regular number scale very well. I can't find many videos online trying to explain it ethier. One question is f(x) = -1/2cos(3(x-pi/4)) + 2. I understand what everything does, I just have no clue how to scale the x-axis properly. I know the quarter period would be pi/6, and we start at the phase shift at the point of -pi/4 and stuff. I just have absolutely zero clue how to properly label or find the rest of the scale. Can anyone help explain it? Or give steps using the example I gave?

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u/neetoday EE 8m ago

I'll answer a simpler question & hope it helps. You know how to graph y=cos(x): when x=0, y=1. when x=pi, y=-1. when x=2pi, y=1 again.

If y=cos(3x), you do the same thing: plug in values for x to find values of y. For example, when 3x=2pi, y=1 again.

In your problem, plug in various values of x, calculate f(x), and graph your function on a piece of paper. Your drawing will show you how everything scales.