Question

Who knows translation rule? medals and fans whoever answer

which translation rule can be used to describe the result of the composition of (x,y)-->(x-7, y+7) and (x,y)-->(x+15, y+6)
A. (x,y)-->(x+8, y+13)
B. (x,y)-->(x-22, y+13)
C. (x,y)-->(x+8, y+1)
D. (x,y)-->(x-22, y+1)

Answer 1

I have 60+ years of experience with math, yet this is the first time I've seen a problem worded in this manner!

I'm going to take (x,y)-->(x+15, y+6) as a the description of a second function. Its first coordinate, x+15, becomes the value of x in (x,y)-->(x-7, y+7).

As an example, in (x,y)-->(x+15, y+6), throw out the x on both sides of the arrow symbol and replace that x with x-7 (from the 2nd function). What do you get?

Now subst. y-6 (the 2nd coordinate of the 2nd function) for y in "y+6) in the first function.

Type out your final result. Does it appear to match any of the answer choices?

Once again: This problem involves the composition of two functions which are defined separately and independently. In my example I've used the 2nd function as the input to the 1st.

Answer 2

thank you