Question

Question 1 of 25
The graph of the reciprocal parent function, f(x) = 1, is shifted 3 units
down and 5 units to the right to create the graph of g(x). What function is
g(x)?

Answer 1

The correct answer is b because when you go right you subtract 5 from x in the denominator and to go down 3 you just subtract 3 from the function

Answer 2

As per the given conditions function g(x) = [ 1 / (x- 3)] -5.

What is graph shifting function?

"The graph of y=f(x)+k (where k is a real number) is the same as the graph of y=f(x) only it's shifted up (when k>0) or down (when k<0). Similarly, the graph of y=f(x-h) (where h is a real number) is the same as the graph of y=f(x) only it's shifted to the right (when h>0) or to the left (when h<0)."

According to the question,

We have

Parent function f(x) = 1/x

Function f(x) shifted down = 3 units

Function f(x) shifted right = 5 units

The graph of reciprocal.

parent function f(x) = 1/x is shifted 3 units down then

f(x) = $\frac{1}{x - 3}$

5 units to the right to create the graph g(x)

g(x) =  $\frac{1}{x - 3} - 5$

Hence, option D is the correct answer.

Learn more about graph shifting functions  here

https://brainly.com/question/12790500

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