g is related to one of the six parent functions. a) Identify the parent function f. b) Describe the sequence of transformations from f to g. c) Sketch the graph of g by hand. d) Use function notation to write g in terms of the parent function f. g(x)= -2|x - 1| - 4

Question

g is related to one of the six parent functions.
a) Identify the parent function f.
b) Describe the sequence of transformations from f to g.
c) Sketch the graph of g by hand.
d) Use function notation to write g in terms of the parent function f.

g (x) = - 2 | x - 1 | - 4

Answer 1

a) Parent function:

f (x) = | x |

b) Reflection in the y-axis
Vertical stretch by a factor of 2
Horizontal shift 1 unit to the right
Vertical shift 4 units downward
c) The graph will be

d) In function notation,

g (x) = - 2 f (x - 1) - 4

g is related to one of the six parent functions. a) Identify the parent function f. b) Describe the sequence of transformations from f to g. c) Sketch the graph of g by hand. d) Use function notation to write g in terms of the parent function f. g(x)= -2|x - 1| - 4

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