What was the equation of the graph below before it was shifted to the right 1.5 units?

Question

asked Nov 9, 2019 195k views

2 Answers

Tom Morgan · Answer 1 · 2019-11-13T07:24:26+0000

Answer:

B is correct.

{tex]G(x)=x^3-x[/tex]

Explanation:

We are given a graph of cubic polynomial after shift 1.5 unit right.

Equation of given graph is

G(x)=(x-1.5)^3-(x-1.5)

For right and left shift, change in x value or horizontal translation.

If we shift "a" unit left then change in x

$x\rightarrow (x+a)$

If we shift "a" unit right then change in x

$x\rightarrow (x-a)$

Here, we need to shift 1.5 unit left to get original function.

G(x)=(x-1.5)^3-(x-1.5)

Shift 1.5 unit left

F(x)=(x-1.5+1.5)^3-(x-1.5+1.5)

F(x)=x^3-x

Hence, B is correct function.