3) What effect does "a" have on the graph? What values of "a" make the graph open up/down?
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4) For each of the following give the coordinates of the vertex and state whether the parabola opens up or down. (After answering, click on the circle next to the equation to display the graph.)
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5) Click on the following points to display them. Generate an equation of a parabola with the vertex at each point. Type in the equation below each point to confirm your answer.
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Examples
Lines: Slope Intercept Form
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Lines: Point Slope Form
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Lines: Two Point Form
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Parabolas: Standard Form
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Parabolas: Vertex Form
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Parabolas: Standard Form + Tangent
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Trigonometry: Period and Amplitude
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Trigonometry: Phase
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Trigonometry: Wave Interference
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Trigonometry: Unit Circle
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Conic Sections: Circle
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Conic Sections: Parabola and Focus
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Conic Sections: Ellipse with Foci
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Conic Sections: Hyperbola
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Polar: Rose
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Polar: Logarithmic Spiral
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Polar: Limacon
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Polar: Conic Sections
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Parametric: Introduction
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Parametric: Cycloid
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Transformations: Translating a Function
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Transformations: Scaling a Function
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Transformations: Inverse of a Function
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Statistics: Linear Regression
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Statistics: Anscombe's Quartet
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Statistics: 4th Order Polynomial
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Lists: Family of sin Curves
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Lists: Curve Stitching
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Lists: Plotting a List of Points
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Calculus: Derivatives
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Calculus: Secant Line
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Calculus: Tangent Line
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Calculus: Taylor Expansion of sin(x)
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Calculus: Integrals
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Calculus: Integral with adjustable bounds
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Calculus: Fundamental Theorem of Calculus
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