Reflecting Graphs

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

If the yellow curve has equation f(x)=x²,

• Then the blue curve is f(x) = x² - c

• Then the blue curve is f(x) = (x+c)²

• Then the blue curve is f(x) = (x-c)²

• Then the blue curve is f(x) = x² + c

Describe the transformations that maps

y = |x| to y = - |x + 6| - 10

• Reflect over y-axis

  Shifted down 10 units

  Shifted left 6 units

• Reflect down over x-axis

  Shifted up 10 units

  Shifted left 6 units

• Reflect over y-axis

  Shifted up 10 units

  Shifted right 6 units

• Reflect down over x-axis

  Shifted down 10 units

  Shifted left 6 units

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