Unit 9 Exam

Which of the following is the graph of  $y=\left(x-2\right)^3-4$  

• 
• 
• 
• 

Which of the following is the graph of  $y=\left(x+5\right)^3-1$  

• 
• 
• 
• 

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 

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

Name the parent function.

• linear
• quadratic
• cube root
• cubic

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

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

• vertical compression 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

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

Find the inverse: f(x) = x³-1