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2 Answers
Nov 18, 2017

a. vertical compression; #g(x) = 2x^3+x^2-2x+3#

Explanation:

We one multiplies a function by #1/3#, one lowers the y value corresponding to a given x by a factor of #1/3#; this has the effect of vertical compression and the equation for #g(x)# is:

#g(x) = 2x^3+x^2-2x+3#

Nov 18, 2017

#a#

Explanation:

#f(x)=y=f(x)#

#g(x)=1/3f(x)#

As you can see in#g(x)# the #y-values# are #1/3# the #y-value# in #f(x)#. That means your #f(x)# was compressed vertically, i.e. it is like someone pressed down on it from the top and squished it to #1/3# the size.