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.

boitshupoO
2021-01-27
Answered

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.

$h\left(x\right)={(-x)}^{2}-8$

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.

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lamusesamuset

Answered 2021-01-28
Author has **93** answers

a) Parent function: $f\left(x\right)={x}^{2}$

b) Reflection in the y-axis

Vertical shift 8 units downward

c) The graph will be

d) In function,$h\left(x\right)=f(-x)\text{}-\text{}8$

b) Reflection in the y-axis

Vertical shift 8 units downward

c) The graph will be

d) In function,

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1.

2.

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The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function f is:
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Use function notation to write g in terms of f.