vidalmari6p99qfk
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  • 11-03-2022
  • Mathematics
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Describe the transformations necessary to transform the graph of f(x) into that of g(x)
Choose an option

SHOW YOUR WORK

Describe the transformations necessary to transform the graph of fx into that of gx Choose an option SHOW YOUR WORK class=

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semsee45
semsee45 semsee45
  • 11-03-2022

Answer:

C)

Step-by-step explanation:

[tex]\sqrt{x}[/tex] : original function

[tex]\sqrt{-x}[/tex] : reflect across the y-axis

[tex]\sqrt{-\dfrac13x}[/tex] : horizontal stretch by a scale factor of 3

[tex]\sqrt{-\dfrac13(x-3)}[/tex]: translate right 3 units

f(x) : original function

f(-x) : reflection over y-axis

f(ax) : horizontal stretch of the graph by a scale factor of 1/a

f(x - a) : horizontal translation right a units

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