Question

For the curve y = x³ given in Figure, draw 

(i) r = -x³ 

(ii) y = x³ + 1 

(iii) y = x³ – 1 

(iv) y = (x + 1)³ with the same scale.

(v) y = x^1/3

Answer 1

(i) r = -x³

It is the reflection on y axis

(ii) y = x³ + 1

The graph of y = x³ + 1 is shifted upward to 1 unit.

(iii) y = x³ – 1 

The graph of y = x³ – 1 is shifted downward to 1 unit.

(iv) y = (x + 1)³

The graph of y = (x + 1)³ is shifted to the left for 1 unit.

(v) y = x^1/3