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)

function in vertex form is:

vertex is: (8,5) and is a minimum on the graph.

axis of symmetry is x=8.

Step-by-step explanation:

A:

Hence is the vertex form of the given function g(n).

B:  Hence the vertex of any equation of the type is given by (h,k)

so, the vertex here is :(8,5)

this is a upward open parabola so the vertex has a minimum hence (8,5) are the minimum point of the graph.

C: The axis of symmetry of a parabola is a straight line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola.

here the axis of symmetry is a vertical line that passes through the vertex.hence the value of x is fixed.

so equation of axis of symmetry is:

hope this !

let me know

a

step-by-step explanation: