Select the transformations of the graph of the parent rational function that result in the graph of g(x) = 1/ 2(x-3) + 1
a. horizontal stretch by a factor of 2 yes no
b. horizontal compressions by a factor of ½ yes no
c. vertical stretch by a factor of 2 yes no
d. vertical compression by a factor of ½ yes no
e. translation 1 unit up yes no
f. translation 1 unit down yes no
g. translation 3 units right yes no h. translation 3 units left yes no

1- 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.2- 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 the first question?