Graphing cube root functions Quiz 1

Question 1

From the given graph of a cube root equation, find the roots $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/7a35d0ba-0c74-451f-89e2-263fe35e395d2664147339849665168.png"/>

Accepted Answer

$$ - 1,\;2,\;4$$

Answer

$$0,\;1,\;2$$

Answer

$$ - 1,\;0,\;2$$

Answer

None of these

Question 2

If the green line in the graph is representing the equation $$y = {x^3}$$ then the equation represented by the blue line will be $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/6d313f3d-d11a-4845-894f-735c9908df577807494694108435612.png"/>

Accepted Answer

$$y = {x^3} + 5$$

Answer

$$y = {\left( {x - 5} \right)^3}$$

Answer

$$y = {\left( {x + 5} \right)^3}$$

Answer

$$y = {x^3} - 5$$

Question 3

Find the center point of the function $$y = \sqrt[3]{{x + 1}} - 9$$

Accepted Answer

$$\left( { - 1,\; - 9} \right)$$

Answer

$$\left( {1,\;9} \right)$$

Answer

$$\left( { - 1,\;9} \right)$$

Answer

$$\left( {1,\; - 9} \right)$$

Question 4

Draw the graph of the equation $$y = {\left( {x - 5} \right)^3}$$

Accepted Answer

Answer

Answer

Answer

Question 5

Graph of the cube root function $$y = \sqrt[3]{{x - 11}} + 12$$ can be drawn by shifting the graph of $$y = \sqrt[3]{x}$$

Accepted Answer

$$11$$ units to the left and $$12$$ units upward

Answer

$$11$$ units to the right and $$12$$ units upward

Answer

$$11$$ units to the left and $$12$$ units downward

Answer

$$11$$ units to the right and $$12$$ units downward