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Levart [38]
3 years ago
7

Write an equation for the given function given the period, phase shift, and vertical shift.

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0

ANSWER

y = \cot(x  -  \frac{\pi}{3} )  + 2

EXPLANATION

The cotangent function that is fully transformed is of the form

y =a  \cot(bx + c)  + d

where 'a' is the amplitude.

\frac{\pi}{b}  = \pi

is the period.

This implies that b=1

The phase shift is

\frac{c}{b}  =  -  \frac{\pi}{3}

Substitute b=1 to get;

c  =  -  \frac{\pi}{3}

and d=2 is the vertical shift.

We choose a=1 to get the required function as

y = \cot(x  -  \frac{\pi}{3} )  + 2

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