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.
Accepted Solution
A:
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.