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Earn +20 ptsQ: Why is any parabola that opens upward or downward a function?
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The parabola opens downward the vertex is called?
The maximum.
If the parabola opens upward the vertex is called the?
maximum point :)
Which way does a parabola open when the coefficent of its x2-term a is negative?
Opens downward.
An equilateral triangle is inscribed in a parabola with its vertex at the vertex of the parabola how do you find the length of the equilateral triangle?
First you need more details about the parabola. Then - if the parabola opens upward - you can assume that the lowest point of the triangle is at the vertex; write an equation for each of the lines in the equilateral triangle. These lines will slope upwards (or downwards) at an angle of 60°; you must convert that to a slope (using the tangent function). Once you have the equation of the lines and the parabola, solve them simultaneously to check at what points they cross. Finally you can use the Pythagorean Theorem to calculate the length.
What is maximum or minimum of a parabola depending on whether the parabola opens up or down?
Vertex
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