Parabola Sketching and Equation Finding

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What is a parabola?

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A parabola is a U-shaped curve that is defined as the set of all points in a plane 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 on 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, which, along with the directrix, defines the parabola's shape.

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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 opposite the focus.

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How do you find the zeros of a polynomial function?

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To find the zeros of a polynomial function, set the function equal to zero and solve for the variable. The solutions are the x-values where the graph intersects the x-axis.

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What does it mean for a function to be increasing or decreasing?

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A function is increasing on an interval if the output values rise as the input values increase. It is decreasing if the output values fall as the input values increase.

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What is the standard form of a quadratic equation?

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What is the vertex form of a parabola?

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How do you determine the direction of a parabola?

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What is the significance of the value 'p' in the equation of a parabola?

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