alg2 3rd 9weeks test 2022

The extraneous solution of the equation is...(hint: set the equation = to 0)

• −3

• −5

• −6

• −10

• 87

• no solution

• 23

Name the parent function.

• linear
• quadratic
• cube root
• cubic

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

• 3 units right, 2 units up

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

• 3 units left, 2 units down

• 3 units left, 2 units up

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

• Right 6
• Left 6
• Up 6
• Down 6

Which of the following is the graph of y = (x – 1)³ – 7?

• 
• 
• 
• 

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

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)
• 1/4 ∛(x - 9)
• - 1/4 ∛(x + 9)
• - 1/4 ∛(x - 9)

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