book Maths Puzzle Numerical Ability

Can you explain how to: Draw each graph using a translation of the graph of f(x)= x^2, f(x)= x^3, or f(x)=/x/.
f(x)=x^2-5
Thank You

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book Other Question

Find the quotient and remainder of f(x) = x4 – 2 divided by p(x) = x
– 1.
This proble involves a function rule..
Input X 1 2 3 4 5 6
Output Y 3 2 1 0 -1 -2
We need to determine the function rule.

Another one..
Input X 1 2 3 4 5 6
Input y 1 3 5 7 9 11

Thanks!