How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

Given the Parent function:

And the other

Since the g(x) function is multiplied by -(1) and added to 3 units, then the curve is translated 3 units left and reflected over the x-axis, as the graph below shows.

The negative parameter "a" reflects over the x-axis. And the independent parameters, being added to the parent one translate the curve.

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

Given the Parent function:

And the other

Since the g(x) function is multiplied by -(1) and added to 3 units, then the curve is translated 3 units left and reflected over the x-axis, as the graph below shows.

The negative parameter "a" reflects over the x-axis. And the independent parameters, being added to the parent one translate the curve.