Question

Will medal!!!!! Help Please!

Answer 1

What transformation has changed the parent function f(x) = log5 x to its new appearance shown in the graph below?

Answer 2

@Majesty69 Did you mean:
\[\log_{5} x\]
OR

\[\log5x\]

Answer 3

the first one sorry

Answer 4

Are you able to help?

Answer 5

oh okay, no worries :)

Yes, just give me a moment while i graph the original function

Answer 6

oh okay thank you :)

Answer 7

Im sorry i should have put the options
f(x + 2) + 2
f(x + 2) − 2
f(x + 2) + 5
f(x − 2) − 5

Answer 8

this is my weakest part of the chapter so i need help on how to figure it out

Answer 9

oh okay.

Answer 10

so would you use slope?

Answer 11

no, no need to use slope. Just keep in mind shifting rules

Answer 12

f(x+2) means it is moved 2 left
f(x+2)-2 means also 2 down

Answer 13

It does look like there is actually no reflection; the only thing happening here is that the function is being shifted, meaning that it has been moved to the side. If we look at the original and at the picture you posted, the graph has moved both down and left

Answer 14

as jamaica has said, here are a few pointers

f(x)-2 --> this means that the function has moved down two. A helpful way to see this is by looking at how the point changed from (1,0) to (-1,-2)

**See the change from the x variable to the other x variable, and the y-variable to the other y-variable. They both go down by 2

f(x+2) --> this means that the function has moved to the left 2 places. This is an odd rule in functions, so it's always good to remember :)

Answer 15

Would the answer be f(x+2)-2?

Answer 16

yes :)

Do you understand why?

Answer 17

Hopefully the explanation that I just gave makes sense to you :P

Answer 18

Because it moves left two and down two?

Answer 19

yes. :)