C1 Question. Help Please...

Heres the question, its (c)

Posted from TSR Mobile

Well you can find the points of intersection with the co-ordinate axis quite easily from factorising that cubic. Furthermore, you can differentiate it to find the maxima and minima points and mark those on. Since the leading term is $+x^3$ you should have a general idea of what it should look like concerning directions when x goes to plus/minus infinity. Then you should have enough information to sketch it.

How would I sketch the curve with equation
y=(x-1)^3-4(x-1)
Please help, i'm so confused!

I'm sorry, I still don't understand

um, ok thanks

Step 1: Draw yourself the axis.
Step 2: Fully factorise the cubic - this should indicate where it crosses the x-axis. Mark these points down on your graph.
Step 3: Differentiate the cubic and set it equal to 0 - solve this quadratic. This will show you the turning points of the cubic, keep a hold of these x-coordinates and plug them through the original cubic to find the y-coordinates. Mark these coordinates on your graph.
Step 4: Join up the points and you should get something that looks like a cubic.
Step 5: Well done.

It's just a transformation from the previous part, differentiation isn't required here.

If you look back at part b you've already drawn something similar. can you see that part c is a transformation of the graph from part b?

for future reference - this guy teaches all the stuff, if you don't get something watch his theory videos maybe it will help https://www.youtube.com/watch?v=ZnVwKerOgsY&list=PLg2tfDG3Ww4vUYMrfblduaM9fOeiQ6BGU