MATH SOLVE

2 months ago

Q:
# 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.

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.