d)) Find \( g(x) \), where \( g(x) \) is the translation 4 units left of \( f(x)=x^{2} \). \( g(x)= \) Write your answer in the form \( \mathrm{a}(\mathrm{x}-\mathrm{h})^{2}+\mathrm{k} \), where a , h , and k are integers. (D)

To obtain the translation of the function \( f(x) = x^2 \) four units to the left, you need to adjust the x-value in the function. This means you replace \( x \) with \( x + 4 \) in the function. So, you have: \[ g(x) = (x + 4)^2 \] Now, let's rewrite this in the specified form \( a(x-h)^2 + k \): \[ g(x) = 1(x - (-4))^2 + 0 \] Thus, your final answer is: \[ g(x) = 1(x + 4)^2 + 0 \] where \( a = 1\), \( h = -4 \), and \( k = 0 \).