Transformations and MORE

What is the point of inflection of the function (h,k)?

• (5,-1)
• (5,1)
• (-5,-1)
• (-5,1)

• (5,-3)
• (5,3)
• (-5,-3)
• (-5,3)

Describe the transformations of the function.

• Stretched by a factor of 2

  Left 3

  Up 4

• Compressed by a factor of 2

  Right 3

  Down 4

• Stretched by a factor of 2

  Right 3

  Down 4

• Compressed by a factor of 1/2

  Left 3

  Up 4

Write the function.

The square root parent function has been reflected over the x-axis, shifted down 3 units, and shifted to the right 6 units.

Write the function.

The cubic function is compressed by a factor of 1/4 and shifted up 5 units.

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

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