The graph of parabola opens downwards, if _______a) a ≥ 0b) a = 0c) a < 0d) a > 0
Question
The graph of parabola opens downwards, if _______
a) a ≥ 0
b) a = 0
c) a < 0
d) a > 0
Solution
The graph of a parabola opens downwards if c) a < 0.
Here's why:
The standard form of a parabola is y = ax^2 + bx + c. The "a" in the equation determines whether the parabola opens upwards or downwards. If a is greater than 0 (a > 0), the parabola opens upwards. If a is less than 0 (a < 0), the parabola opens downwards. If a equals 0 (a = 0), the equation is not a parabola, but a linear equation.
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