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

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

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