Writing Quadratic Equations Given Attributes

Front

What is a parabola?

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Front

What is the vertex of a parabola?

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What is the focus of a parabola?

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The focus of a parabola is a fixed point located inside the curve, where all the points on the parabola are equidistant from the focus and the directrix.

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What is the directrix of a parabola?

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The directrix of a parabola is a fixed line used in the definition of a parabola. It is perpendicular to the axis of symmetry and is located opposite the focus.

Front

How do you find the equation of a parabola given the vertex and directrix?

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Front

What is the standard form of a parabola that opens to the right?

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Front

What is the standard form of a parabola that opens upwards?

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How do you determine the value of p in a parabola's equation?

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The value of p can be determined by the distance between the vertex and the focus or the vertex and the directrix. If the focus is above the vertex, p is positive; if below, p is negative.

Front

What is the significance of the value of 'a' in the quadratic equation?

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Front

How do you convert the vertex form of a parabola to standard form?

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