Question 906687
b.  is the simple cubic equation but moved 8 units downward.  Instead of the inflection point being at (0,0), it is now moved to (0,-8).


a.   is like two lines split and stuck together.


for 3x-9 POSITIVE or ZERO,
{{{3x-9>=0}}}
{{{x-3>=0}}}
{{{x>=3}}}, the interval for x for:
{{{highlight(y=3x-9)}}}, for {{{x>=3}}}


For 3x-9 NEGATIVE,
The interval for x is {{{x<3}}}.

{{{highlight(y=-3x-9)}}}, for interval {{{x<3}}}.


A sharp corner or vertex is in this graph at {{{x=3}}}.


{{{graph(300,300,-3,12,-3,12,abs(3x-9))}}}