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.

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.