Stretches and Compressions Reflections

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

Tags

CCSS.HSF.BF.B.3

-f(x) - 2

• reflection over y-axis, shift down 2

• reflection over y-axis, shift right 2

• reflection over x-axis, shift right 2

• reflection over x-axis, shift down 2

3f(-x)

• reflection over x-axis, vertical compression

• reflection over y-axis, vertical stretch

• reflection over x-axis, horizontal compression

• reflection over y-axis, horizontal stretch

Tags

CCSS.HSF.BF.B.3

¾f(x − 7)

• vertical compression, translation right 7

• vertical stretch, translation down 7

• vertical compression, translation left 7

• vertical stretch, translation right 7

vertical reflection, horizontal stretch

• g(x) = ½f(-x)

• g(x) = -f(¼x)

• g(x) = -3f(x)

• g(x) = -f(4x)

horizontal compression

• g(x) = 3f(x)

• g(x) = ½f(x)

• g(x) = f(¼x)

• g(x) = f(5x)

¼f(x) + 1

• vertical stretch, shift up 1

• vertical compression, shift up 1

• vertical stretch, shift up ¼

• vertical compression, shift down ¼

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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What type of function is shown?

• linear

• quadratic

• square root

• absolute value