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Function Transformations

Function Transformations. Families of Functions. Do your Work in Pencil!. Quadratics Cubics Hyperbola Square Root Exponential Linear. Quadratic. Parent Equation:. y=k. General Equation:. Domain:. Range:. x=h. (Depending on if a is positive or negative). Cubic. Parent Equation:.

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Function Transformations

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  1. Function Transformations

  2. Families of Functions Do your Work in Pencil! Quadratics Cubics Hyperbola Square Root Exponential Linear

  3. Quadratic Parent Equation: y=k General Equation: Domain: Range: x=h (Depending on if a is positive or negative)

  4. Cubic Parent Equation: y=k General Equation: Domain: Range: x=h

  5. Hyperbola Parent Equation: General Equation: y=k Domain: Range: x=h

  6. Square Root Parent Equation: General Equation: Domain: y=k Range: (Depending on if a is positive or negative) x=h

  7. Exponential Parent Equation: a General Equation: y=k Domain: Range: x=h

  8. Linear Slope = a Parent Equation: y=k General Equation: Domain: Range: x=h

  9. Absolute Value Parent Equation: General Equation: Domain: y=k Range: (Depending on if a is positive or negative) x=h

  10. Sleeping Parabola x=h Parent Equation: y=k General Equation: Domain: (Depending on if b is positive or negative) Range:

  11. Circle x=h Parent Equation: General Equation: Domain: y=k Range:

  12. Standard to General: Quadratic y = 3x2 – 18x – 10

  13. Standard to General: Quadratic y = x2 + 8x + 25

  14. Standard to General: Circle x2 + 6x + y2 - 12y - 9 = 0

  15. Standard to General: Circle 4x2 - 24x + 4y2 + 32y - 4 = 0

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