Question

h is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to h. (c) Ske

Transformations of functions
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asked 2021-05-27

h is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to h. (c) Sketch the graph of h by hand. (d) Use function notation to write h in terms of the parent function f. \(\displaystyle{h}{\left({x}\right)}=∣{2}{x}+{8}∣−{1}\)

Answers (1)

2021-05-28
a)Parent function: f(x)=|x|
b)Rewrite as: h(x)=|2(x+4)|-1
-Vertical stretch by a factor of 2
-Horizontal shift 4 units to the left
-Vertical shift 1 unit downward
[Graph]
c)The graph will be:
d)h(x)=f(2x+8)-1 <- Answer
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