Question

Complete the square of the function y = 3x2 − 18x − 19. Part A: Where is the vertex located and what is the maximum or minimum value? What is the equation of the axis of symmetry? Part B: What are the zeros of the function (as exact values expressed in radical form) and the y-intercept?

Answer 1

1. Vertex: (3, -46)
2. Maximum/Minimum Value: -46
3. Axis of Symmetry: x=3
4. Zeros of the Function: x=9+- the square root of 138 over 3 (picture)
5. Y-Intercept: (0, -19)