How are the graphs #f(x)=x^2# and #g(x)=-(1.5x)^2# related?

1 Answer
May 22, 2018

see graph

Explanation:

They are mirrors of each other across the #x# axis due to #g(x)# being negative.

#g(x)# also has a horizontal compression do to the input being adjusted by a factor of #1.5#

Graph of #f(x) = x^2#

graph{x^2 [-10, 10, -5, 5]}

graph of #g(x) = -(1.5x)^2#

graph{-(1.5x)^2 [-9.29, 10.71, -9.4, 0.6]}