Math 3 10.3 GS

Match the equation with the graph

Which function matches the graph?

• A

  f(x) = − ∛(x + 3) − 1

• B

  f(x) = − ∛(x - 3) − 1

• C

  f(x) = ∛(x + 3) − 1

• D

  f(x) = ∛(x - 1) + 3

Match the equation with the graph

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Which graph represents the function?

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Identify the Transformations. 

• Vertical stretch by 2 and down 4
• Horizontal compression by ½ and down 4
• Vertical stretch by 2 and up 4
• Horizontal compression by ½ and right 4

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

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 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

Describe the transformation of the graph  y = - ½(x + 4)³ - 1

• Left 4 and Down 1
• Reflected x-axis, Down 1, Left 4, Compression by a factor of 1/2
• Reflected x-axis, Down 1, Left 4, Stretch by 1/2
• Reflected x-axis, Up 1, Right 4, Compression by a factor of 1/2