Respuesta :

Catya
it's asking you to shift the graph of; y = 5x up 3 units. if you add 3 to the equation, all y-values will be increased by 3 this shifts the graph up exactly 3 units.

y = 5x + 3

Answer:

The shift of y=5x 3 units up is given by:

                       [tex]y=5x+3[/tex]

Step-by-step explanation:

The transformation of the type:

                         f(x) to f(x)+k

is a translation or a shift of the original function f(x) ; k units up or k units down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here the original function is given by:

                           [tex]y=5x[/tex]

Now, we have to shift the original function 3 units up.

Hence, the transformed function is given by:

               [tex]y=5x+3[/tex]

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