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:
[tex]y=f(x)[/tex]
If y is vertically compressed by a factor of 4, we have:
[tex]\frac{1}{4}f(x)[/tex]
Next, a reflection across the x-axis will give:
[tex]-\frac{1}{4}f(x)[/tex]
If the result is shifted
[tex]-\frac{1}{4}f(x-6)[/tex]
Finally, a shift downwards by units gives:
[tex]g(x)=-\frac{1}{4}f(x-6)-2[/tex]
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.
