Sequence of Function Transformations

Question

The function $$g$$ is defined in terms of a function $$f$$ by the equation $$g(x) = -2f\left(\frac{1}{2}(x + 3)\right) - 1$$. Which of the following describes a sequence of transformations that maps the graph of $$f$$ to the graph of $$g$$?

Accepted Answer

Shift left 3, compress horizontally by $$\frac{1}{2}$$, stretch vertically by 2, reflect over x-axis, shift down 1

Answer

Shift right 3, compress horizontally by $$\frac{1}{2}$$, stretch vertically by 2, reflect over y-axis, shift down 1

Answer

Shift left 3, stretch horizontally by 2, stretch vertically by 2, reflect over x-axis, shift down 1

Answer

Shift right 3, stretch horizontally by 2, compress vertically by $$\frac{1}{2}$$, reflect over x-axis, shift up 1

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	jai.gupta.us	1	1	1m 10s	30
#2	laith.tahtamouni11	0	1	0m 00s	-10
#3	michael.2103ll	0	1	0m 00s	-10

Sequence of Function Transformations

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