# Math Help - transformations, dilations help

1. ## transformations, dilations help

can anyone help me with #1 or #17-20 on this page?

http://www.clayton.k12.mo.us/4037206...997/CH_1_6.pdf

i know that #1 is a horizontal dilation but i dont know how to count how many its by or how to set up an equation for it

2. Originally Posted by kdeighan
can anyone help me with #1 or #17-20 on this page?

http://www.clayton.k12.mo.us/4037206...997/CH_1_6.pdf

i know that #1 is a horizontal dilation but i dont know how to count how many its by or how to set up an equation for it
If it is horizontal, then it modifying the x by a constant scale before inputting it into the function.

So for instance, if the original function were $x^3 - 3x$, then the new function is something like $(x/2)^3 - 3(x/2)$, which is a scaling by a factor of 2.

Something similar happens if you do it to a trigonometric function - just graph $sin(x)$ versus $sin(2x)$.