Question

The functions f(x) and g(x) are described below:

f(x) = 3x − 7

g(x) = 3x + 8

The graph of g(x) is obtained by shifting up the graph of f(x) by _____ units.

Answer 1

15 units. 8 - - 7 = 15

Answer 2

`15` units.

Explanation:

The given functions are:

`f(x)=3x-7`

and

`g(x)=3x+8`

The function
`f(x)=3x-7` has y-intercept ,
`-7`.

The function
`g(x)=3x+8` has y-intercept,
`8`

If we shift the graph of g(x) up to obtain f(x), then the y-intercept must move from
`-7` to
`8`.

This means that the graph will move up by;

`8--7=8+7=15` units.