Transformations of Parent Functions with Graphs

• up 3

  left 12

• right 3

  down 12

• left 3

  up 12

• left 3

  down 12

If f(x) is the graph below, which graph represents f(x) - 3?

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Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units

• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units

• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units

• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

Describe the transformation from dotted to solid.

• f(x + 4)

• f(x - 4)

• f(x) + 4

• f(x) - 4

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5

What is the equation of the graph below?

• f(x) = I x I + 1

• f(x) = I x I - 1

• f(x) = -I x I + 1

• f(x) = -I x I - 1

Which function is graphed?

• f(x) = -|2x - 5| + 5

• f(x) = -|x - 3| - 3

• f(x) = -2|x + 3| + 5

• f(x) = -2|x + 5| - 3

Describe the transformation from the parent function: y = 3x + 5

• Steeper; Shift up 5 units

• Steeper; Shift down 5 units

• Flatter; Shift up 5 units

• Flatter; Shift down 5 units