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Pre-Calculus Transformations

WUTWY KJ5i Iransformatons Pre-Calculus 8 am 9(x)=f(x)+A>Shif+fvpA units 1)HO^tON+a1 ShiF SecHon lO 9(x)-f(x)-A->Shift f down A unit3 2)Stretcn/ShrinK 9(x)-f(x+A)>Shifts F left A unit3 3)Ref(ec+(On g(x)=f(x-A)-ShiH f right A units 4) VerHcq1 Shift g(x)=Af(x),O<A<1>ver+icaIly'shrinkSf )by A g(x)-f(Ax),A>1-horiZOntally shrinksf Inverse FuncHions-Find h-(2)-whtn x=2,whatiS y? *Findin9 the inverse alqebraically i)Swap x$y-Z)So\ve for Y* (fog)(x)=f(g(x)) y=3/y\xi[y=3x1|y=Z\x1 fy=zx1 Domain 1 1 1 Range X coordinatas Y-Coordinates Narrow Transformatons Using More Thon1 Iwide f(x) Gnraph f(zx)-3 f(3x):horizontal stre+ch by2->Vertical Shif+ Down3 2,0)--4,0) (-4,-3) -4,08,0) -8-3 33)-F03 (-0,-16)