Determine values of a,b,c such that the graph has a relative maximum at and crosses the y axis at (0,1)
first, you have two points on the curve given to you ...
(0,1) ... ... now you know
(3,12) ...
this gives you the equation , or simplified,
now you need another equation ... relative extrema occur at critical values; in this case where .
at ...
there is your second equation in terms of and ... solve the system.