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

Answer:

$15$ units.

Step-by-step 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.