Sahasra Muskula
2022-09-12
nick1337
Expert2023-06-17Added 777 answers
(a) Identifying the parent function f: To identify the parent function f, we need to examine the given function h. The given function is h(x) = 1/(x - 6).
From the given expression, we can see that h is a reciprocal function. The parent function for reciprocal functions is f(x) = 1/x. Therefore, the parent function f is f(x) = 1/x.
(b) Describing the sequence of transformations from f to h: To describe the sequence of transformations from the parent function f to h, we need to analyze the changes applied to f to obtain h.
The transformation applied to the parent function f(x) = 1/x is a horizontal translation to the right by 6 units. This is represented by the expression (x - 6) in the denominator of h(x).
So, the sequence of transformations from f to h can be described as a horizontal translation of 6 units to the right.
(d) Using function notation to write h in terms of the parent function f: The function h(x) can be written in terms of the parent function f(x) using function notation.
Starting with the parent function f(x) = 1/x, we apply the transformation of a horizontal translation to the right by 6 units:
h(x) = f(x - 6) = 1/(x - 6)
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