Transformations Algebra

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Which parent function matches the graph?

Which parent function matches the graph?

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• Up 7

• Right 7

• vertical compression

Describe the transformation that occurred g(x) =2f(x)

• Up 2 units

• wider by a scale factor of 1/2

• narrower by a scale factor of 2

• Right 2 Units

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• wider by a scale factor of 1/5

• vertical stretch

• narrower by a scale factor of 5

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5

Describe the transformation of the function from the Parent Function g\left(x\right)=-x^3+5

• Reflection over

  x-axis

  and

  Shift Left 5

• Reflection over

  y-axis

  and

  Shift Right 5

• Reflection over

  y-axis

  and

  Shift Up 5

• Reflection over

  x-axis

  and

  Shift Up 5