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Investigating the Effect of a, h, and k in Vertex Form

Investigating the Effect of a, h, and k in Vertex Form. a = 3. a = 2. a = 1. a = 1/3. a = -1/2. k = 4. k = 0. k = -2. Can the value of k change the number of Roots the parabola has?. What’s Tricky about stating what h is?. Y = a(x – h)2 + k

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Investigating the Effect of a, h, and k in Vertex Form

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  1. Investigating the Effect of a, h, and k in Vertex Form

  2. a = 3 a = 2 a = 1 a = 1/3 a = -1/2

  3. k = 4 k = 0 k = -2

  4. Can the value of k change the number of Roots the parabola has?

  5. What’s Tricky about stating what h is? • Y = a(x – h)2 + k • When stating what h is: it has the opposite sign to what is written in the equation. The minus sign is part of the equation.

  6. Stating what h is……….y=a(x-h)2+k • y = (x – 6)2 + 7 • y = 3(x - 2)2 - 3

  7. Stating what h is ……….y=a(x-h)2+k • y = (x + 3)2 + 4 • y = 3(x + 4)2 - 5

  8. Possible Questions • Write the equation of the parabola where a = 2, h = -5 and k = 1 • Give the values of a, h, and k for the following parabola: y = -0.5(x – 5)2 + 7

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