Question

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

Answer 1

Just answered this question

Explanation:

Answer 2

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.