Question

I have a question about my math homework : transform y=k(x) by translating it down 3 units. Lable the new function p(x) . What happens to the y-coordinate in each new ordered pair?

Answer 1

We have the function y = k(x).

We want to define a new function p(x), such that is equal to k(x) but translated down 3 units.

When we have a general case of a function y = f(x), the function g(x) = f(x) + A is a translation of A units up (if A is positive) or A units down (if A is negative).

Then if we want to go 3 units up, we should have:

p(x) = k(x) + 3.

So now our points are:

(x, y) = (x, p(x)) = (x, k(x) + 3)

So for all the points the y-coordinate has ben mooved 3 units up.