How do you find the amplitude, period, vertical and phase shift and graph #y=costheta-5#?

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Answer 1 · 2018-01-16T03:41:18

Amplitude will be #1#, the value of the coefficient of cosine.

Period will be that of a standard cosine graph, or #2pi#.

There will be a phase shift of #0# because the graph has been moved neither left nor right.

There will be a vertical shift of 5 units down because the value of #d# in #y= acos(b(x -c)) + d# is #-5# .

The graph is as follows. It is the exact graph of #y = cosx# with a transformation of #5# units down.

graph{y = cosx- 5 [-10, 10, -5, 5]}

Hopefully this helps!