what was the equation of the graph below before it was shifted to the right 1.5 units?
Accepted Solution
A:
Answer: B is correct. {tex]G(x)=x^3-x[/tex]Step-by-step explanation:We are given a graph of cubic polynomial after shift 1.5 unit right. Equation of given graph is [tex]G(x)=(x-1.5)^3-(x-1.5)[/tex]For right and left shift, change in x value or horizontal translation. If we shift "a" unit left then change in x [tex]x\rightarrow (x+a)[/tex]If we shift "a" unit right then change in x [tex]x\rightarrow (x-a)[/tex]Here, we need to shift 1.5 unit left to get original function. [tex]G(x)=(x-1.5)^3-(x-1.5)[/tex]Shift 1.5 unit left [tex]F(x)=(x-1.5+1.5)^3-(x-1.5+1.5)[/tex][tex]F(x)=x^3-x[/tex]Hence, B is correct function.