Question

What transformation has changed the parent function f(x) = log4 x to its new appearance shown in the graph below?

f(x − 5) − 4
f(x + 5) + 4
f(x − 5) − 5
f(x + 5) + 5

Answer 1

@jim_thompson5910 @ganeshie8 @SolomonZelman @Abhisar @aaronq @e.mccormick @Luigi0210 @Callisto @Destinymasha @TheSmartOne

Answer 2

@Nnesha @Kainui @undeadknight26

Answer 3

which point with coordinates that are whole numbers is known to be on the graph of \(\large f(x) = \log_{4}(x)\)

Answer 4

i posted the graph (-4,5) @jim_thompson5910

Answer 5

@jim_thompson5910 help please

Answer 6

what happens when x = 1 for \(\large f(x) = \log_{4}(x)\)

Answer 7

i have no clue

Answer 8

can you solve the problem by showing me the steps i usually understand it better like that

Answer 9

use a calculator and tell me what you get

\[\large f(x) = \log_{4}(x)\]

\[\large f(1) = \log_{4}(1)\]

\[\large f(1) = ???\]

Answer 10

i really dontknow @jim_thompson5910

Answer 11

would it be zero? @jim_thompson5910

Answer 12

yes it is, so we know that (1,0) lies on the function curve \(\large f(x) = \log_{4}(x)\)

Answer 13

how do we shift (1,0) to make it land on (-4,5) ?

Answer 14

i dont know actually @jim_thompson5910

Answer 15

try shifting (1,0) left until it lies directly underneath (-4,5)

how many units did you shift left?

Answer 16

5

Answer 17

@jim_thompson5910

Answer 18

yes, now how much do we shift up to make the point actually land on (-4,5) ?

Answer 19

also 5 right?

Answer 20

@jim_thompson5910

Answer 21

correct

Answer 22

to shift left 5 units, we go from f(x) to f(x+5)

to shift up 5 units, we tack on +5 to get f(x+5)+5

Answer 23

so will the answer be D? @jim_thompson5910

Answer 24

yes

Answer 25

can you help me with another one?

Answer 26

@jim_thompson5910