How does the graph of g(x) = (x - 3)2 + 4 compare to the parent function f(x) = x? A g(x) is shifted 3 units to the right and 4 units up.

B g(x) is shifted 4 units to the right and 3 units up.

C g(x) is shifted 3 units to the left and 4 units up.

D g(x) is shifted 4 units to the right and 3 units down

4th choice

Step-by-step explanation:

Let f(x)=x^4 be the parent function.

This is what the following means:

n(x)=(x-3)^4 : The parent function has moved right 3.

h(x)=-x^4 : The parent function has been reflected over the x-axis.

Together (n and h):

m(x)=-(x-3)^4:  The parent function has been reflected over the x-axis and moved right 4 units.

v(x)=(x-3)^4+5:  The parent function has been moved right 3 units and up 5 units.

So you have g(x)=-(x+3)^4.

So this consists of a reflection across x-axis and has been shifted 3 units left.

Step-by-step explanation: