How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)

Name each raycalculation tip: in ray "ab", a is the endpoint of the ray.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

True or false: the graph of y=f(bx) is a horizontal compression of the graph y=f(x) if b< 1