A cubic graph has the equation:

Question

y = 3(x-1)(x+2)(x+5)

Write in similar form the equation of the graph after a translation ( 3)

Could you show me step-by step please?

Answer 1

You need to specify the direction of the translation, 3 units along +x, along -y ??

Translation along +y direction is simply adding a constant to the function.
Thus g(x) = f(x)+3 would shift f(x) upwards by three units.
On the other hand, g(x) = f(x-k) will shift the graph of f(x) k units to the right, i.e. in the direction of +x axis.

If you need further help, please post.