Question

The function g(x) is created by taking the absolute value parent function (x), shifting it to the right 3 units, down 5 units, vertically stretching it by a factor of [missing factor], and turning it upside down. What is the equation of g(x)?

Answer 1

The equation of the transformed function g(x) based on the given transformations is g(x) = -a| x - 3 | - 5, where 'a' represents the missing vertical stretch factor.

Step-by-step explanation:

The student question pertains to transformations of the absolute value parent function to create a new function g(x). To achieve the described transformations, one must shift the graph to the right by 3 units, shift it down by 5 units, apply a vertical stretch by an unknown factor, and then reflect it across the x-axis to turn it upside down. The equation of the transformed function g(x) remains incomplete without the missing stretch factor, but up to this point, we can represent the function as g(x) = -a| x - 3 | - 5, where a is the missing vertical stretch factor.