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

What was the equation of the graph below before it was shifted to the right 1.5 units-example-1

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5 votes

Answer:

Just answered this question

Explanation:

What was the equation of the graph below before it was shifted to the right 1.5 units-example-1
User Pavelsaman
by
8.6k points
5 votes

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.

User Tom Morgan
by
9.4k points

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