Question

(i) y = -x^(1/3)

(ii) y = x^(1/3) + 1

(iii) y = x^(1/3) - 1

(iv) y = (x + 1)^(1/3)

Answer 1

(i) Let y = -x^(1/3)

Then y = -x^(1/3) is the reflection of the graph of y = x^(1/3) about the x-axis 

(ii) Let y = x^(1/3) + 1

Then y = x^(1/3) + 1 is the x graph of y = x^(1/3) shifts to the upward for one unit.

(iii) Let y = -x^(1/3) 

Then y = x^(1/3) - 1 is the graph of x^(1/3) shifts to the upward for unit.

(iv) y = (x + 1)^(1/3)

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y = (x + 1)^(1/3) causes the graph of x^(1/3) on the same co-ordinate plane.