Quiz about Cubic and Cube Root Transformations/Solving Cube Root Equations

Question 1

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 2

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

Which graph represents the function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 4

Solve the cube root equation

Accepted Answer

$$x=344$$

Answer

$$x=21$$

Answer

$$x=-344$$

Answer

$$x=-21$$

Question 5

Solve the cube root equation

Accepted Answer

$$x=228$$

Answer

$$x=78$$

Answer

$$x=-228$$

Answer

$$x=-78$$

Question 6

Solve the cube root equation

Accepted Answer

$$x=125$$

Answer

$$x=-125$$

Answer

$$x=25$$

Answer

$$x=-25$$

Question 7

What is the value of x in the equation (2x + 1)^1/3 + 3 = 6

Accepted Answer

13

Answer

1

Answer

4

Answer

16

Answer

None

Question 8

Solve the cube root equation: $$∛\left(x-5\right)=∛\left(5x-11\right)$$

Accepted Answer

$$x=\frac{3}{2}$$

Answer

$$x=\frac{2}{3}$$

Answer

$$x=4$$

Answer

$$x=-4$$

Cubic and Cube Root Transformations/Solving Cube Root Equations