Question

The function g(n) = n2 − 16n + 69 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for g(n). (2 points)

Answer 1

hello :
g(n) = n2 − 16n + 69
=( n²-16n+64)-64 +69.....( completing the square)
g(n) = (n-8)² +5...... (the vertex form)
the vertex is : (8,5)
the axis of symmetry is the line : n = 1