Question

The graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 5 to create the graph of g(x). what is the function of g(x)?

a. g(x) = |x+5|
b. g(x) = |1/5 x|
c. g(x) = |5x|
d. g(x) = 5 |x|

Answer 1

The function g(x) created by stretching the graph of the absolute value parent function by a factor of 5 is g(x) = |1/5x|.

Step-by-step explanation:

The absolute value parent function is represented by f(x) = |x|.

To stretch the graph horizontally by a factor of 5, we need to modify the equation by dividing x by 5. Thus, the function for g(x) becomes g(x) = |1/5x|.

Therefore, the correct answer is b. g(x) = |1/5x|.

Answer 2

Answer: I’m thinking the answer is B

Step-by-step explanation: