On a graph, sketch both y = f(x) and y = f(x +/= k) for y our chosen parent function and chosen value of k. Be sure to clearly label each.

Question

Answer in two SHORT sentences.
The parent function is f(x) = x^2, and k’s value is 4.

Answer 1

To sketch the graphs of \( y = f(x) = x^2 \) and \( y = f(x + 4) = (x + 4)^2 \), the first graph is a standard upward-opening parabola centered at the origin, while the second graph is a parabola shifted 4 units to the left. Clearly label the original graph in blue and the shifted graph in red.