determine the period ,amplitude and phase shift of f(x)=3cos2(x-pi/4)+1?

and list 5 critical points of first cycle?

please help me


1 Answer

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    y= A cos (θ -d ) K + c

    A= amplitude , d horizontal shift, c= vertical shift, k = frequency per 2π or 360 degrees interval.

    the trig function is in the form

    y=A sin(Bx+C) or y=A cos(Bx+C)

    when B>0

    A= amplitude

    period = (2pi)/B

    phase shift = -(C/B)

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