Fill in each blank with the appropriate response.
-The graph of $\mathrm { y } = 2 \sqrt [ 3 ] { \mathrm { x } - 1 } - 3$ can be obtained from the graph of $\mathrm { y } = \sqrt [ 3 ] { \mathrm { x } }$ by shifting horizontallyــــــــــ units to theـــــــــ , vertically stretching by a factor ofـــــــــــــــ and shifting vertically ــــــــــــunits in the directionـــــــــــــــــ.
A) 1; left; 3; 2; downward
B) 1; left; 2; 3; downward
C) 1; right; 2; 3; downward
D) 1; right; 3; 2; upward

Question

Quizplus · Accepted Answer

The graph is shifted 1 unit to the right due to the (x - 1) inside the cube root, vertically stretched by a factor of 2 because of the coefficient 2 in front of the cube root, and shifted 3 units downward due to the -3 outside the cube root.

Fill in Each Blank with the Appropriate Response y=2x−13−3\mathrm { y } = 2 \sqrt [ 3 ] { \mathrm { x } - 1 } - 3y=23x−1​−3

Fill in Each Blank with the Appropriate Response $\mathrm { y } = 2 \sqrt [ 3 ] { \mathrm { x } - 1 } - 3$