Describe the transformations necessary to transform the graph of f(x) into that of g(x)
Choose an option
SHOW YOUR WORK
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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