Question

The graph of F(x), shown below in pink, has the same shape as the graph of G(x) = x3, but it is stretched to be twice as tall. Complete its equation below.



F(x) = _____

Answer 1

would my answer be somewhere among the line of F(x) = x^3 + 1?

Answer 2

not quite...that would actually move the graph up 1 unit...not stretch it

Answer 3

To vertically stretch (or compress) a graph...you need to multiply the 'x' in your equation by a number

If that number is <1 the graph compresses vertically by that number
If that number is >1 the graph stretches vertically by that number...

Your question says that it is meant to be twice as tall....so you need to multiply x^3 by 2

This will give all values 2 times their value and make the graph go twice as tall

F(x) = 2x^3

Answer 4

thank you!

Answer 5

no problem!