Question

The parent function of the following graph is f(x)=(1/2)^x. what is the equation of the following graph?

Answer 1

Hint: wolframalpha

Answer 2

yea..i dont know how to use it

Answer 3

You should learn. It's not that difficult

Answer 4

ya..i tried to use it before. dont know how.

Answer 5

do you know the answer to this?

Answer 6

I'm sorry to hear that. It works similar to how a calculator works.

Answer 7

Yes

Answer 8

do you know the equation?

Answer 9

Yes

Answer 10

can you share it with me?

Answer 11

I'm not sure if doing that will help you learn.

Answer 12

one hint? notice that when \(x=0\) you get \(y=f(x)=2\)

Answer 13

i think it will because youve done it before..

Answer 14

Sorry

Answer 15

can you help tho

Answer 16

let me look at your picture again. it is not that hard

Answer 17

\[f(x)=(\frac{1}{2})^x\] is your "parent function" whatever that means now \(f(0)=(\frac{1}{2})^0=1\), but you do not have \((0,1)\) on the graph, you have \((0,2)\)

Answer 18

so all you need to do is take \(f(x)=(\frac{1}{2})^x\) and multiply it by 2

Answer 19

you can write \(2(\frac{1}{2})^x\) if you like
or even \((\frac{1}{2})^{x-1}\)

Answer 20

so after i multy 2 by 1/2 ill get the equation?

Answer 21

careful here

Answer 22

it is one half being raised to the power of \(x\) not \(2\times \frac{1}{2}\)

Answer 23

so it is
\[g(x)=2\times (\frac{1}{2})^x\]

Answer 24

so thats the equation?

Answer 25

thank you :)