Respuesta :

To shift a function to the right simply apply the idea of the parent function being f(x) and a horizontal (left and right) shift as being f(x- or + h) depending if left or right. 

TO the right function would be f(x-h), so f(x-10). plug in x-10 into x

f(x-10) = 2(x-10) + 3 = 2x - 20 + 3 = 2x - 17. So k should equal 17?
calculista

Answer:

[tex]k=17[/tex]

Step-by-step explanation:

we have

[tex]f(x)=2x+3[/tex]

If the graph of f(x) shifts [tex]10[/tex] units to the right

then

will be

[tex]f(x)=2(x-10)+3[/tex]

so

[tex]2x-k=2(x-10)+3[/tex]

[tex]2x-k=2x-20+3[/tex]

[tex]-k=-17[/tex]

[tex]k=17[/tex]