Find the Equation for the Function Transformations

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis

• 3 units right, 2 units up, reflected across the x-axis

• 3 units left, 2 units up, reflected across the y-axis

• 3 units left, 2 units up, reflected across the x-axis

Describe the transformation of the graph  y = -2(x + 5)³ 

• Shrink by 2, Reflected over y-axis, Right 5

• Stretch by 2, Reflected over x-axis, Left 5

• Stretch by 2, Reflected over x-axis, Right 5

• Shrink by 2, reflected over y-axis, Left 5

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• vertical shrink by a factor of 1/4,translation down 2 units

• vertical shrink by a factor of 1/4,translation right 2 units

• vertical stretch by a factor of 1/4,translation down 2 units

• vertical stretch by a factor of 1/4,translation right 2 units

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• reflection over the x-axis,vertical compress by a factor of 5

• reflection over the y-axis,vertical compress by a factor of 5

• reflection over the x-axis,vertical stretch by a factor of 5

• reflection over the y-axis,vertical stretch by a factor of 5

Describe the transformation of the graph  y = (x)³  + 6

• Right 6

• Left 6

• Up 6

• Down 6

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Which of these equations shifts a radical equation right 1 time and up 2 times?

• y = √(x + 1) - 2 

• y = √(x - 1) + 2

• y = √(x - 2) + 1

• y = √(x + 2) - 1

Describe the transformation.

• Vertical Stretch by 2

• Vertical Shrink by ⅓

• Horizontal Shrink by ⅓

• Horizontal Stretch by 3

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4