Question

What transformation has changed the parent function f(x) = log2x to its new appearance shown in the graph below?

logarithmic graph passing through point negative 2, 0.

f(x + 3)
f(x − 3)
f(x) + 3
f(x) − 3
@ganeshie8 @hartnn @mathstudent55

Answer 1

f(x+3)

Answer 2

because log2(-2 + 3) = log2(1) = 0

Answer 3

please note that:
\[f(-2+3)=\log _{2}(-2+3)=\log _{2}(1)=0\]

Answer 4

we have got same idea! @M4thM1nd

Answer 5

Exactly teh same lol

Answer 6

so A? @M4thM1nd

Answer 7

Yes

Answer 8

please don't give out answers directly!
thanks.

Answer 9

he explained the steps -.- @hartnn

Answer 10

i explained @hartnn

Answer 11

you gave the answer, then explained.
thats not how it should work :P

Answer 12

same thing.. at least ik how it should be done

Answer 13

considering the time interval between the answer and the explanation, the order does not matter ^^

Answer 14

Just kidding ;) Merry Christmas everybody

Answer 15

f(x)=log(x) is a parent function,
and log(2x) is a vertical shift up by log(2).

(because, log(2x)=log(2)+log(x), )
comparing
f(x=log(x) << parent function
f(g)=log(x)+log(2) << a very small vertical shift.

Answer 16

The function f(x) = 20(3)x represents the growth of a fish population every year in a local lake. Jesse wants to manipulate the formula to an equivalent form that calculates every half-year, not every year. Which function is correct for Jesse's purposes?

f(x) = 20(3)the x over 2 power
f(x) = 20(3 to the one half power)2x
f(x) = twenty halves(3)x
f(x) = 40(2)x
@i

Answer 17

@iGreen

Answer 18

@tHe_FiZiCx99

Answer 19

@campbell_st

Answer 20

I NEED HELP PLZ ANYONE RN

Answer 21

@cwrw238 @Kainui

Answer 22

As you want half year, so f(x) = 20*(3)^(x/2) will give the growth of fishes in x half years

Answer 23

so f(x) = 20*(3)^(x/2)

Answer 24

@iamabarbiegirl