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Quadratics Part II Transformations. Vertex form. Fun. Unit 4

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LEARNING GOAL I can identify the effect of transformations on the graph of y = x 2

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Anatomy of a Parabola

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Everything you ever wanted to know about a Parabola

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The Most Basic Parabola

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Parabolas on the Move You have the rest of the period to complete PARTS A, B, and C If you don’t finish in class, use this website to complete the rest tonight: http://goo.gl/YRsKthttp://goo.gl/YRsKt Other Homework: Skills Preparation for this Unit: p. 342 #1 ac, 4, 5, 6acegi, 7adfh, 8a, 9ce, 10b

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Vertex Form y = a(x – h) 2 + k

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y 1 = 2x 2 + 3 Vertex @ Transformations

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Consolidate So far: How to graph a parabola from Vertex Form METHOD 1: POINT-BY-POINT from y=x 2 Choose a point on y=x 2 Keep the x co-ordinate the same Change the y value: (y × a) + k Move left or right by h Choose another point and do it all over again!

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y 2 = 3(x+2) 2 Vertex @ Transformations

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Consolidate So far: How to graph a parabola from Vertex Form METHOD 2: STEP PATTERN Identify the vertex Plot the vertex Use the step pattern to plot the rest of the points from there (if a ≠ 1, then multiply each step by a)

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y 3 = 3x 2 - 4 Vertex @ Transformations

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y 4 = 2(x-3) 2 Vertex @ Transformations

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y 5 = (1/5)x 2 + 1 Vertex @ Transformations

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y 6 = (1/3)(x+1) 2 Vertex @ Transformations

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