(a) The graph of \( y=f(x) \) is shown. Translate it to get the graph of \( y=f(x-2) \). (b) The graph of \( y=g(x) \) is shown. Translate it to get the graph of \( y=g(x)+4 \).

To translate the graphs as described in your questions, we need to understand how transformations affect the graphs of functions. (a) For the function \( y = f(x - 2) \): - This transformation involves a horizontal shift. Specifically, replacing \( x \) with \( x - 2 \) shifts the graph of \( f(x) \) to the right by 2 units. - To obtain the graph of \( y = f(x - 2) \), take the original graph of \( y = f(x) \) and move every point on the graph 2 units to the right. (b) For the function \( y = g(x) + 4 \): - This transformation involves a vertical shift. Adding 4 to the function \( g(x) \) shifts the graph of \( g(x) \) upward by 4 units. - To obtain the graph of \( y = g(x) + 4 \), take the original graph of \( y = g(x) \) and move every point on the graph 4 units up. In summary: - For \( y = f(x - 2) \), shift the graph of \( f(x) \) 2 units to the right. - For \( y = g(x) + 4 \), shift the graph of \( g(x) \) 4 units up.