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

The value of k is 4.

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

Answer very simply and shortly.

1 answer

  1. Parent Function: \( y = f(x) = x^2 \) (a parabola opening upwards)

  2. Transformed Function: \( y = f(x) + 4 \) (shifts the parabola up by 4 units)

Graph Labels:

  • Curve 1: \( y = x^2 \) (original parabola)
  • Curve 2: \( y = x^2 + 4 \) (parabola shifted up)