Question

Easy question.. Fan and Medal

Answer 1

How do you dilate a figure on the coordinate plane?
How are dilations and functions related?
How do you determine the scale factor of dilation?

Answer 2

The answers are below your questions.

Answer 3

not really i dont understand it the way its worded

Answer 4

Well, let's take them one at a time.

What part of the definition of dilations do you not get?

Answer 5

this is what i came up with for dialating a figure on a coordinate plane

Multiply each number of each ordered pair by the same factor-

Answer 6

Yes.

Answer 7

and for How do you determine the scale factor of a dilation i got just work backwards: look at the ordered pairs before and after dilation to see which factor are the before ordered pairs being multiplied to

Answer 8

Well, it is a solve for the unknown. If you multiply by some scale factor k, then they have the (x,y) to (kx,ky). That means k can be the unknown to solve for. Say the point (2,7) to (4,14). Well, the (4,14) part id the (kx,ky) part. I know x and y, so I can sustitute:

(k2,k7) = (4,14) or k2=4 solve for k.

Answer 9

okay, for the second one i have no idea

Answer 10

Well, for any function you have the whole thing that for a given X there is one and only one Y value. Right?

Answer 11

yes

Answer 12

With dilation, you are scaling everything. Both the x and the y change. So it is like you have a new function that you are putting the entire original function into and it changes it all. This is sort of like function composition where you put a function into another function, BUT you are only putting the (x,y) values of the original function into the new dilation function. That still makes dilation a function on its own.