Question

The graph of the absolute value parent function, fx) = |xl, is stretched

horizontally by a factor of 5 to create the graph of g(x). What function is g(x)?
A. g(x) = | x+5 |
B. g(x) = |5x|
C. g(x) = 5 |x|
D. g(x) = | 1/5x |

Answer 1

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

Step-by-step explanation:

When the graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 5, the new function g(x) will be a horizontal stretch of the original function. To stretch a graph horizontally by a factor of 5, each x-coordinate is divided by the stretching factor. Therefore, the graph of g(x) for each x value would be at the x-coordinate of the original graph divided by the stretching factor (5). This gives us the new function: g(x) = |x/5|, which can also be written as g(x) = |1/5x|.