Question

Please help me, I can't figure this out for the life of me

Answer 1

Explanation:

Use the parent function, then shift as necessary

Parent function:

y= log₅ x >put in exponential form

`5^(y) =x`

Since our variables are a bit backwards work backwards

For y = 0 x=1

For y=1 x= 5

For y= 2 x=10 and so on and so forth

Put into T table

x | y

1 | 0

5 | 1

10 | 2

This is your parent: There is a stretch of 2 and a shift of 1 to right for your function

so mulitply y by 2 and move over to right by 1

x | y

1 +1 | 0 *2

5 +1 | 1*2

10+ 1 | 2*2

x | y

2 | 0

6 | 2

11 | 4

Your asymptote is x=1 because you shifted right 1