Parabola (Equations, lines and points)

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What is the standard form of a parabola?

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What is the vertex of a parabola?

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The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.

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The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

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What is the focus of a parabola?

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The focus is a point inside the parabola where all the reflected lines from the parabola converge.

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What is the directrix of a parabola?

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The directrix is a line that is perpendicular to the axis of symmetry of the parabola and is used in the definition of a parabola.

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How do you find the x-intercept of a parabola?

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To find the x-intercept, set y = 0 in the equation of the parabola and solve for x.

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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, passing through the vertex.

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What is the difference between vertex form and standard form of a parabola?

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What is the equation of a parabola with vertex (0,0) that opens upwards?

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What is the significance of the roots of a parabola?

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