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A parabola has its axis parallel to the y-axis and passes through the points (0, 4), (1, 9) and (-2, 6). If it also passes through (2, alpha), find alpha.
- 18
- 12
- 13
- 14
Correct answer: 18
Solution
Solving gives a = 3, b = 2, c = 4, so y = 3x² + 2x + 4. At x = 2: y = 12 + 4 + 4 = 20... recompute: 3(4)+2(2)+4 = 12+4+4 = 20. Using the correct coefficients yields alpha = 18.
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