Practice using the second derivative test for extremum points.

Problem

Let g be a twice differentiable function, and let g, left parenthesis, minus, 6, right parenthesis, equals, minus, 1, g, prime, left parenthesis, minus, 6, right parenthesis, equals, 0, and g, start superscript, prime, prime, end superscript, left parenthesis, minus, 6, right parenthesis, equals, minus, 3.
What occurs in the graph of g at the point left parenthesis, minus, 6, comma, minus, 1, right parenthesis?
Please choose from one of the following options.