Transformations With Functions

Write in your own description of the transformed function below. You must include the parent function, transformations, directions, and numbers. (ex. linear function with horizontal shift of 4 left, etc...)
Function:

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• Graph will become wider/less steep

• Graph will become skinnier/more steep

• Graph will be shifted by +3 

• Graph will be reflected

• Left 7 units

• Right 7 units

• Up 7 units

• Down 7 units

• Vertical stretch, Up 4

• Vertical stretch, Left 4

• Vertical shrink, Up 4

• Vertical shrink, Left 4

• x-axis reflection, right 2, down 8

• x-axis reflection, left 2, down 8

• y-axis reflection, left 2, down 8

• vertical stretch, right 2, down 8

Which answer would be the transformation equation for the black and red graphs

• f(x) = | x - 1.5 | +1 f(x)= - 1.5 | x +2 |

• f(x) = | x + 1.5 | +1 f(x)= - 1.5 | x +2 |

• f(x) = - | x - 1.5 | +1 f(x)= 1.5 | x +2 |

• f(x) = | x + 1.5 | -1 f(x)= - 1.5 | x -2 |

Describe the parent graph transformation

• stretch by 1/2, left 1, down 3

• stretch by 1/2, right 1, down 3

• compression by 1/2, left 1, down 3

• compression by 1/2, right 1, down 3

Which of these is correct:

• Red: f(x) = x²

• Red: f(x) = 3x²

• Red: f(x) = ⅕x²

• Red: f(x) = 6x²

• None of these ae correct

Which of the following is the correct equation for the blue function?

• √x - 2

• √(x-2)

• √x + 2

• √(x+2)

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5