Question

the graph of f(X) shown below has the same shape as the graph of g(x)=x^3 but it is shifted down 3 units what is its equation?

Answer 1

Answer:

f(x) = x³ - 3

Step-by-step explanation:

Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < o then a shift down o c units

Here a shift down of 3 units, hence c = - 3, thus

f(x) = x³ - 3

Answer 2

The required equation is f(x)=x³-3.

The give function is g(x)=x³.

What is the function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, in the graph is given a curve which has the same shape as the parent curve g(x)=x³ but shifted 3 units down.

Since there is no horizontal change x will remain as it is.

Since there is a vertical shift down of 3 units.

We have f(x) = g(x)-3

This will only shift vertically down 3 units without affecting horizontally.

That is, f(x)=x³-3

Therefore, the required equation is f(x)=x³-3.

To learn more about functions visit:

https://brainly.com/question/12431044.

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