Question

Please help!!! the graph of F(x), shown below, has the same shape as the graph of G(x)=x^3, but it shifted down 1 unit. what is its equation

Answer 1

Answer:

$F(x) = x^{3)-1[$

Step-by-step explanation:

In the graph is given a curve which has the same shape as the parent curve

$G(x) = x^{3)$}

but shifted 1 unit down.

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

Since there is a vertical shift down of 1 unit,

we have F(x) = G(x)-1

This will only shift vertically down one unit without affecting horizontally.

Hence the relation is

$F(x) = x^{3)-1$

Option C is correct

Answer 2

One unit down means a change in the y-axis. The graph one unit above shows no y-intercept in the equation because the intercept is 0.