Function Transformations

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Presentation transcript:

Function Transformations Family Parent Graphing Calculator Cubic Hyperbola Square Root Exponential

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

Quadratic x -2 -1 1 2 y 4 Parent Equation: General Equation: Domain: y=k General Equation: Domain: Range: x=h (Depending on if a is positive or negative) x -2 -1 1 2 y 4

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

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

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

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

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

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

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

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

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

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

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

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