Q:

How does the graph of g(x) = βˆ’(x + 3)4 compare to the parent function of f(x) = x4? g(x) is shifted 3 units to the right and 1 unit up. g(x) is shifted 3 units to the right and 1 unit down. g(x) is shifted 3 units to the right and reflected over the x-axis. g(x) is shifted 3 units to the left and reflected over the x-axis.

Accepted Solution

A:
Answer:g(x) is shifted 3 units to the left and reflected over the x-axis.Step-by-step explanation:Given the Parent function: [tex]x^{4}[/tex] And the other[tex]g(x)=-(x+3)^4[/tex]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.