Question

Find a function that represents a horizontal stretch of the graph of f(x) = |x + 5|

Answer 1

The function that represents a horizontal stretch of the graph of f(x) = |x + 5| can be written as g(x) = |(1/k)(x + 5)|, where k is the stretching factor.

If we want to stretch the graph horizontally by a factor of 2, for example, we would set k = 2:

g(x) = |(1/2)(x + 5)|

This function can also be written as g(x) = |x/2 + 5/2|.

To graph this function, we can use the same process as for the original function, but horizontally compressing (shrinking) the graph by a factor of 2.