How does the graph of y=-3√2x-4 compare to the graph of y=-3√x-4?The graph is stretched horizontally by a factor of 2 and then moved right 4.The graph is compressed horizontally by a factor of 2 and then moved down 4.The graph is compressed horizontally by a factor of 2, moved left 4, and moved down 4.The graph is stretched horizontally by a factor of 2, moved left 4, and moved down 4.
Question
Answer:
Assuming the graph is y=-3(√2x)-4 and y=-3√(x-4) the transformation would be:The graph is compressed horizontally by a factor of 2
x=1/2x'
y=-3(√2x)-4
y=-3(√x')-4
moved left 4
x=x'-4
y=-3(√x)-4
y=-3(√x'-4)-4
moved down 4
y=y'-4
y=-3(√x-4)-4
y'-4=-3(√x'-4)-4
y'=-3(√x'-4)-4 +4
y'=-3(√x'-4)
Answer: C. The graph is compressed horizontally by a factor of 2, moved left 4, and moved down 4.
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11 months ago
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