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Shifting the Standard Parabola

Shifting the Standard Parabola. Graphs of Quadratic Functions. y = ax 2 + bx + c. If a is positive , then our parabola opens up . If a is negative , then our parabola opens down . The Standard Parabola. The Graph of the Quadratic Equation y = x 2.

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Shifting the Standard Parabola

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  1. Shifting the Standard Parabola

  2. Graphs of Quadratic Functions y = ax2 + bx + c If a is positive, then our parabola opens up. If a is negative, then our parabola opens down.

  3. The Standard Parabola The Graph of the Quadratic Equation y = x2

  4. Shifting the Standard Parabola Graphing y = x2 + 1 y = x2 + 1 shifts the standard parabola UP 1 Standard Parabola y = x2

  5. Shifting the Standard Parabola Graphing y = x2 - 3 y = x2 - 3 shifts the standard parabola DOWN 3 Standard Parabola y = x2

  6. ! Shifting the Standard Parabola y = -x2 Flips the u-shape Standard Parabola y = x2

  7. Shifting the Standard Parabola Graphing y = 2x2 y = 2x2 Narrows the u-shape Standard Parabola y = x2 !

  8. Shifting the Standard Parabola Graphing y = 2x2 y = 2x2 Narrows the u-shape Standard Parabola y = x2

  9. Shifting the Standard Parabola Graphing y = ½x2 Standard Parabola y = x2 y = ½x2 Widens the u-shape

  10. Shifting the Standard Parabola y = ax2 + bx + c when b ≠ 0, changes the x-coordinate of the vertex  Moving the vertex away from the origin

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