Parabola Review

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What is a parabola?

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A parabola is a symmetrical, U-shaped curve that can open upwards or downwards. It is defined as the set of all points that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

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What is the vertex of a parabola?

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The vertex is the highest or lowest point of the parabola, depending on its orientation. It is the point where the parabola changes direction.

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What is the focus of a parabola?

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The focus is a fixed point located inside the parabola. It is used in the definition of a parabola and is located along the axis of symmetry.

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What is the directrix of a parabola?

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

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What is the axis of symmetry in a parabola?

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The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex and the focus.

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How is the value of 'a' related to the parabola's width?

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The value of 'a' determines the width of the parabola. A larger absolute value of 'a' results in a narrower parabola, while a smaller absolute value results in a wider parabola.

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What is the relationship between 'a' and 'p' in a parabola?

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What does the equation of a parabola look like in vertex form?

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What is the standard form of a parabola's equation?

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How do you find the vertex from the standard form of a parabola?

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