How do you graph $y=3 cos (x/5)$ ?

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Answer 1 · 2016-08-18T13:25:29

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The standardised $cos(theta)$ has a max of +1 and a min of -1.

Thus $3xxcos(theta)$ changes this to a max of 3 and a min of -3.
Su the up and down is increased by a factor of 3.

The $x/5$ reads a point on graph of $cos(x/5)$ and plots it at $x$

Consequently $x/5$ opens up the plot of $cos(x)$ like stretching a spring and in doing so expanding it horizontally by a factor of 5.

$color(purple)("The graph below uses radian measure for the x-axis")$

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How do you graph y=3 cos (x/5)y=3 cos (x/5)?