How do you use the graph of #f(x)=(7/2)^x# to describe the transformation of #g(x)=-(7/2)^(-x+6)#?

1 Answer
Nov 11, 2017

See below.

Explanation:

#y=(7/2)^xcolor(white)(88)[1]#

Multiplying by a negative value causes a reflection in the line#y=0#

#y=-(7/2)^xcolor(white)(88)[2]#

Multiply #x# by #-1# causes a rotation about the y axis.

#y=-(7/2)^(-x)color(white)(88)[3]#

Adding a positive value #a# to #x# closes the curve, adding a negative value opens the curve, but the asymptote #y =0# remains.

#y=-(7/2)^(-x+3)color(white)(88)[4]#

Graphs of each individual stage:

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