Answer:Explanation:
Option 1: Vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
iven the parent function:

If y is vertically compressed by a factor of 4, we have:

Next, a reflection across the x-axis will give:

If the result is shifted

Finally, a shift downwards by units gives:

Thus, the graph of g(x) is the graph of y vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
he firsyt option is correct.