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2.1 Transformations of Parabolas

2.1 Transformations of Parabolas. 10/12/2012. Vocabulary. Quadratic Function :. a function that is written in the standard form: ax 2 + bx + c where a ≠ 0. Graph is a parabola. Vertex. Axis of symmetry. Vertex. Vertex:. The highest or lowest point of the parabola.

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2.1 Transformations of Parabolas

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  1. 2.1 Transformations of Parabolas 10/12/2012

  2. Vocabulary Quadratic Function : a function that is written in the standard form: ax2 + bx + c where a ≠ 0 Graph is a parabola Vertex Axis of symmetry Vertex Vertex: The highest or lowest point of the parabola. the line that divides a parabola into mirror images and passes through the vertex. Axis of symmetry:

  3. Simplest quadratic equation Graph y = x2 x -2 -1 0 1 2 y 4 1 0 1 4

  4. Graph y = -x2 x -2 -1 0 1 2 y -4 -1 0 -1 -4 Note: Graph is reflected in the x-axis.

  5. Graph y = 2x2 x -2 -1 0 1 2 y 8 2 0 2 8 Note: Graph is stretched vertically by a factor of 2.

  6. Graph y = x2 x -2 -1 0 1 2 y 2 ½ 0 ½ 2 Note: Graph shrinks vertically by factor of ½

  7. Graph y = (x-2)2 x 0 1 2 3 4 y 4 1 0 1 4 Note: Graph shifts 2 units to the right.

  8. Graph y = (x+2)2 x -4 -3 -2 -1 0 y 4 1 0 1 4 Note: Graph shifts 2 units to the left.

  9. Graph y = x2 - 2 x -2 -1 0 1 2 y 2 -1 -2 -1 2 Note: Graph shifts 2 units down.

  10. Graph y = x2+ 2 x -2 -1 0 1 2 y 6 3 2 3 6 Note: Graph shifts 2 units up.

  11. Graph y = (x-2)2 + 4 x 0 1 2 3 4 y 8 5 4 5 8 Note: Graph shifts 2 units to the right and 4 units up.

  12. Graph shifts 2 units down Graph y = -½(x+2)2-2 Graph shrinks vertically by ½ and is reflected in the x-axis Graph shifts 2 units to the left.

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