Describing Transformations In Exercises 21-38, g is related to one of the parent functions described in Section 2.4. (a) Identify the parent function f . (b) Describe the sequence of transformations from f to g . (c) Sketch the graph of g . (d) Use function notation to write g in terms of f . g x = 1 2 x
Describing Transformations In Exercises 21-38, g is related to one of the parent functions described in Section 2.4. (a) Identify the parent function f . (b) Describe the sequence of transformations from f to g . (c) Sketch the graph of g . (d) Use function notation to write g in terms of f . g x = 1 2 x
Solution Summary: The author explains that the parent function is the simplest form of a function that still satisfies the definition of the type of function.
Describing Transformations In Exercises 21-38,
g
is related to one of the parent functions described in Section 2.4. (a) Identify the parent function
f
.
(b) Describe the sequence of transformations from
f
to
g
.
(c) Sketch the graph of
g
.
(d) Use function notation to write
g
in terms of
f
.
Describe the transformations that produce the graphs of g and h from the graph of f.
f(x) = x³
(a) g(x) = (x-1)³ - 2
(b) h(x) = -(x+4)³ +3
(a) Describe the transformations that produce the graph of g from the graph of f. Choose the correct answer below.
O A. Shift 1 unit to the right, shift 2 units down
OB. Shift 1 unit down, shift 2 units to the right
OC. Shift 1 unit to the left, shift 2 units up
O D. Shift 1 unit up, shift 2 units to the left
(b) Describe the transformations that produce the graph of h from the graph of f. Choose the correct answer below.
OA. Shift 3 units to the left, reflect in the x-axis, shift 4 units up
OB. Shift 3 units to the right, reflect in the y-axis, shift 4 units down
OC. Shift 4 units to the left, reflect in the y-axis, shift 3 units down
OD. Shift 4 units to the left, reflect in the x-axis, shift up
3 units
H
Q Search
2. Consider the following transformed function
y=-2 Sin [2(x-45°)] + 1
a) Graph the five key points of Parent function on the provided grid.
b) State the following for the transformed function
Amplitude=
period=
Horizontal Phase shift =
Equation of axis
Chapter 2 Solutions
Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term
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