In which direction does the parabola y–6x2=–6 open?
Question
In which direction does the parabola y–6x2=–6 open?
Solution
The parabola y = -6x^2 - 6 opens downward. This is because the coefficient of the x^2 term is negative. In a parabola given by the equation y = ax^2 + bx + c, if a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. In this case, a is -6, which is negative, so the parabola opens downward.
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