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.

Falak Kinney

Falak Kinney

Answered question

2021-09-17

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. h(x)=∣2x+81

Answer & Explanation

Alannej

Alannej

Skilled2021-09-18Added 104 answers

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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