The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. if g(x) is obtained by shifting f(x) down by 7 units, then what is the value of k?

answer:

step-by-step explanation:

there are some transformations for a function f(x). one of these transformations is the following:

if , then the function is shifted down "k" units.

in this case you know that the function   is obtained by shifting the function down by 7 units.

therefore the transformation is:

, where the value of "k" is the following:

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent