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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.

Respuesta :

Siobha
15 units. 8 - - 7 = 15
kudzordzifrancis

Answer:

[tex]15[/tex] units.

Step-by-step explanation:

The given functions are:

[tex]f(x)=3x-7[/tex]


and


[tex]g(x)=3x+8[/tex]


The function [tex]f(x)=3x-7[/tex] has y-intercept , [tex]-7[/tex].


The function [tex]g(x)=3x+8[/tex] has y-intercept, [tex]8[/tex]


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


This means that the graph will move up by;


[tex]8--7=8+7=15[/tex] units.



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