Translating the graph of a function: One step Translate each graph as specified below. (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 \( y=g(x+5) \). Part (a) Part (b)

For part (a), translating the graph of \( y=f(x) \) to \( y=f(x)+2 \) means you’ll shift the entire graph upward by 2 units. Imagine taking every point on the graph and lifting it straight up; this transformation will maintain the same shape and horizontal positions, but every point will now sit 2 units higher on the y-axis. In part (b), to translate the graph of \( y=g(x) \) to \( y=g(x+5) \), you’ll shift the graph to the left by 5 units. Visualize this as moving the entire graph leftward, where each point will maintain its vertical position, while the horizontal positions will change to reflect that shift. So, all the features of the function will now appear 5 units closer to the y-axis!