Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Given the parent function g(x)=log3x .

What is the equation of the function shown in the graph?

Answer 1

The answer to this is C

Answer 2

Answer:

$f(x)= log_3(x+2)-5$

Step-by-step explanation:

Parent function is $g(x)= log_3(x)$

LEts pick a point from the graph and check with each option

LEts pick (-1,-5)

$f(x)= log_3(x-2)-1$

$f(x)= log_3(-1-2)-1$

log term cannot be negative

$f(x)= log_3(x-3)-2$

$f(x)= log_3(-1-3)-2$

log term cannot be negative

$f(x)= log_3(x+2)-5$

$f(x)= log_3(-1+2)-5$

$f(x)= log_3(1)-5$, log(1) is 0

f(x)= -5 that is the y value

(-1,-5) satisfies the above equation