Question

please help question below

Answer 1

this is what i get for graphing both, but the answers are confusing me.

Answer 2

u don't need to graph the functions to determine the answer

Answer 3

okay. how can i determine the answer without graphing them?

Answer 4

\(\LARGE f(x)=2\log_{10}(x-1)-4 \)

\(\LARGE g(x)=10(x-1)^2+4\)

first I just want to put the functions up not to click a different tab every time

Answer 5

@mathstudent55

Answer 6

the parent logarithmic function is

\(\LARGE L(x)=\log_{10}(x) \) (naming it L of x, becuase it is logarithmic)



\(\LARGE L(x+a)=\log_{10}(x+a) \) is a shift a units to the left

\(\LARGE L(x+a)=\log_{10}(x-a) \) is a shift a units to the right

\(\LARGE L(x)=B\times \log_{10}(x) \) multiples times a scale factor B

Answer 7

how do you obtain the g(x) from a parent function \(\LARGE L(x)=\log_{10}(x) \) ?

Answer 8

i mean how do you obtain f(x) (not g of x)

Answer 9

When you replace x with x - h, h being a number, the function is translated h units horizontally.
When you replace y with y - k, k being a number, the function is translated k units vertically.

Answer 10

so are you two saying that it's some sort of vertical shift?

Answer 11

@mathstudent55

Answer 12

@idku

Answer 13

someone please help me

Answer 14

@mathstudent55

Answer 15

can someone help me?

Answer 16

@mathstudent55

Answer 17

@idku

Answer 18

SOMEONE