Answer:
D. [tex]g(x)=(x+4)^{2}-3[/tex]
Step-by-step explanation:
g(x) is a translated function. Compared to the parent function, f(x)=[tex]x^{2}[/tex], it has been shifted 4 left and 3 down. The rule for quadratic functions is [tex]y=a(x-h)^{2} +k[/tex], where h is the x-translation (horizontal) and k is the y-translation (vertical). In g(x) h=-4 and k=-3. While it might seem like h is positive, remember that since in rule it is being subtracted it must be negative.
