The top paragraph literally just means that you should know how to use the intersection of points to solve equations. It's as simple as that. Eg. when two curves, or a straight line means a curve and you have worked how say the equations of both, you can find the values for x.
The bottom part of the paragraph is GCSE.
y=aF(x) - means multiply the y values of the function by a
yY=F(x) + a - means move the y values of F(x) up by a units
y=F(x+a) - means add the x vales of F(x) by a, e.g., the minimum point of f(x) was (1,1) then F(x+a), where a = 4, the minimum point will now be 5,1
y=f(ax) - means divide the x values of F(x) by a, similarly if y=F(x/a) then you multiply the values of x by a.
Just remember inside the bracket manipulates the X axis and it's always opposite and that anything outside the bracket manipulates the Y axis and is NOT opposite.