Question 12 • Algebra II
Factor 9 from the quadratic and linear terms: y = 9(x² + x) − 1. Complete the square using half of 1, which is 1/2: y = 9[(x + 1/2)² − 1/4] − 1 = 9(x + 1/2)² − 13/4. Therefore, the vertex form is choice C, y = 9(x + 1/2)² − 13/4.
AI-written and checked against the verified answer.