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Which logarithmic equation is a translation of y = log5x to the right 9 units and 8 units up? A. y = log5(x – 9) + 8 B. y = log5(X + 8) - 9 c. y = log5(x + 9) - 8 D. y = log5(x-8) +9

Respuesta :

frika

Answer:

A

Step-by-step explanation:

For the function [tex]y=f(x)[/tex], the following options show main translations:

[tex]y=f(x-a)[/tex] is a translation [tex]a[/tex] units to the right

[tex]y=f(x+a)[/tex] is a translation [tex]a[/tex] units to the left

[tex]y=f(x)+a[/tex] is a translation [tex]a[/tex] units up

[tex]y=f(x)-a[/tex] is a translation [tex]a[/tex] units down

If you have to translate the function [tex]y=\log_5x[/tex]  to the right 9 units and 8 units up, then its equation will be

[tex]y=\log_5(x-9)+8[/tex]

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