Specify the interval at which the quadratic function y = -x² + x-2 decreases.
| April 28, 2021 | education
The coefficient at the highest degree is negative, therefore, the branches of the parabola are directed downward, the x coordinate of its vertex is calculated by the formula:
x = -b / (2 * a) = -1 / (-2) = 0.5.
Consequently, this function increases before reaching the top, and then decreases on the interval [0.5; + ∞).
Answer: interval [0.5; + ∞).
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