Question

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

Answer 1

Answer:

A

Step-by-step explanation:

For the function $y=f(x)$, the following options show main translations:

$y=f(x-a)$ is a translation $a$ units to the right

$y=f(x+a)$ is a translation $a$ units to the left

$y=f(x)+a$ is a translation $a$ units up

$y=f(x)-a$ is a translation $a$ units down

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

$y=\log_5(x-9)+8$