f(x) = x^2 is the parent function.

The value of k is 4.

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

Answer in two short sentences

1 answer

The graph of \( y = f(x) \) for the parent function \( f(x) = x^2 \) will be a standard upward-opening parabola, while the graph of \( y = kf(x) \) where \( k = 4 \) will be a steeper upward-opening parabola represented by \( y = 4x^2 \). Clearly label the parabola for \( y = f(x) \) in one color and the parabola for \( y = kf(x) \) in another color to distinguish between the two functions.