Consider f(x)=x squared;s (x) is f(x) shifted which way and how far, if s (x)=(x+2)squated-3?

Question

to the left 4 units

to the right 2 units

to the left 3 units

to the left 2 units

Answer 1

your second equation can be rearraged as

s(x) + 3 = (x+2)^2

as a rule, once you have the equation in this form, anything on the s(x) side indicates shifts up or down in the negative. So in this case the graph shifts -3, i.e. 3 units down.

Since you are interested in the left-right shift, note that '2' has been added to x (since your original was x^2). this means a -2 shift, i.e. the graph shifts 2 units to the left.

i suggest this site for practising. type out your equations, graph them and see how they change.

http://www.frontiernet.net/~imaging/grap...