J) Find g(x) where g(x) is the translation 4 units right of f(x)=x^2 4) Write your answer in the form a(x-h)^2+k where a, h, and k are integers. g(x)= square

To find the translation of the function $f(x) = x^2$ by 4 units to the right, we need to shift the graph of $f(x)$ horizontally.<br /><br />The general form of a quadratic function is $a(x-h)^2 + k$, where $a$, $h$, and $k$ are integers.<br /><br />In this case, we want to shift the graph of $f(x)$ 4 units to the right, so we need to replace $x$ with $(x-4)$ in the equation.<br /><br />Therefore, the translated function $g(x)$ is:<br /><br />$g(x) = (x-4)^2$<br /><br />So, the answer is:<br /><br />$g(x) = (x-4)^2$