4. Which of the following functions is equivalent to g(x)=(2)/(5)(x-5)^2+8 A g(x)=(2)/(5)x^2+6 B g(x)=(2)/(5)x^2-4x+18 C g(x)=x^2-10x+33 D g(x)=(2)/(5)x^2-10x+33

To determine which function is equivalent to \( g(x) = \frac{2}{5}(x-5)^2 + 8 \), we need to expand and simplify the given function.First, let's expand \( (x-5)^2 \): Next, we multiply this result by : Finally, we add 8 to this expression: Thus, the function \( g(x) \) simplifies to: Therefore, the correct answer is: