If fx is any one of the six elementary trig functions, examine the role of the parameters a,b,h,k in the transformation a fbx−h+k.
tutor in the Student Precalculus package, as per the screen-shot in Table A-7.8(a).
Tools≻Tutors: Precalculus≻Standard Functions
Table A-7.8(a) Solution via the
tutor in the Student Precalculus package
Alternatively, execute the following Explore command to activate the embedded probe of the sine function. Simply change the name of the function in the Explore command to explore the other trig functions.
Exploreplota sinb x−h+k,x=−2 π..2 π,y=−10..10,parameters=a=−5..5.0,b=−5..5.0,h=−2 π..2.0 π,k=−5..5.0,initialvalues=a=1,b=1,h=0,k=0,placement=right
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