Quadratic Curves
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Transcript of Quadratic Curves
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Quadratic Curves
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A quadratic curve can be expressed in this form:
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General Form
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General Form
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General Form
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Look at the x-intercept to determine whether shift left or right!
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y-intercept = 4 (value of c)How to find x-intercepts and y-intercept?1 and 4 are the values of the x-intercepts.
In other words, the x-intercepts have coordinates (1, 0) and (4, 0)Line of Symmetry: x = 2.5
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Turning points
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Find the coordinate of the turning point(?, ?)x-coordinate:y-coordinate:Turning Point is (1.5, 6.25)Does the value of a affect the turning point of the curve?No. a only affects 2 things shape and width
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Find the equation of the following curves:
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xy012Dotted Curve:Notice that the y-intercept of the Blue Curve is 0.How would you change the equation so that the y-intercept is 0?
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Dotted Curve:Again, the y-intercept is 0
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One more examplefind this equationxy027
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http://www.youtube.com/watch?v=U2ayuow3U0c&feature=relatedMovie
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McDonald Sign
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How many Curves do you need?4What is the equation of this curve?
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Find the equations of ALL 4 curves and draw your McDonald SignTo help you, here are the WINDOW settings:
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Solution:
EquationDescription1Top left curve2Top right curve3Bottom left curve4Bottom right curve
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How to turn off the axes
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Shading2nd PRGM (Draw) 7: SHADE
(bottom y equation, top y equation)E.g: (y3, y1), ENTERy3y1VARS Y-VARS
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Enter Text2nd PRGM (Draw) 0: TEXT
(ALPHA followed by letter)
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Storing Pic2nd PRGM (Draw) STO 1: StorePic
key in a number from 1 to 9
Press enterRecalling Pic2nd PRGM (Draw) STO 1: RecallPic
key in the number where you stored it
Press enter
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Ideas for ACE
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4 Steps to Quadratic Curve SketchingCheck cSolve for x
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Example:c = 12
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Example:a = -1