calculus grade 12 

Given: f(x)=ax^3+bx^2+cx+d with the following properties:
1.1 Draw the graph of f. Indicate clearly the coordinates of the turning points and
the intercepts.
1.2 Determine the equation of 𝑓 in the form 𝑦 =
1.3 If g(x)=f(x-3), write down the 𝑥 −intercepts of g.
1.4 Determine the values of 𝑝 for which 𝑥^2+2x-3=p have exactly one
root.