The graph of the function y = x^2 - x - 2 is shown below.
Which of the following shows the correct key features of the graph?
A. vertex (1/2, -2 1/4), axis of symmetry x = 1/2, x-intercepts at (-1, 0) and (2, 0), y-intercept at (-2, 0).
B. vertex (1/2, -2 1/4), axis of symmetry x = -2 1/4, x-intercepts at (-1, 0) and (-2, 0), y-intercept at (0, 2).
C. vertex (1/2, -2 1/4), axis of symmetry x = -2 1/4, x-intercepts at (-1, 0) and (2, 0), y-intercept at (0, -2).
D. vertex (1/2, -2 1/4), axis of symmetry x = 1/2, x-intercepts at (-1, 0) and (2, 0), y-intercept at (0, -2).
The correct answer is A.
Explanation:
- The vertex of the graph is at the point (1/2, -2 1/4).
- The axis of symmetry is x = 1/2.
- The x-intercepts are at x = -1 and x = 2.
- The y-intercept is at y = -2.