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

Question

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

Answer 1

1. Parent Function: \( y = f(x) = x^2 \)

2. Transformed Function: \( y = f(x) + 4 = x^2 + 4 \)

Graph Overview:

• The graph of \( y = x^2 \) is a parabola opening upwards with its vertex at (0,0).
• The graph of \( y = x^2 + 4 \) is the same parabola, but shifted upwards by 4 units, with its vertex at (0,4).

Labels:

• Curve 1: \( y = x^2 \)
• Curve 2: \( y = x^2 + 4 \)