Question

The graph of:
f(x)= (0.5)^x
is replaced by the graph of:
g(x)= (0.5)^x -k
If g(x) is obtained by shifting f(x) down by 2 units, the value of k is__________.

Answer 1

Please Help!!!

Answer 2

This is "vertical translation." "k" represents the number of units by which the original graph is shifted up or down. You might try graphing g(x)=f(x)-k for a couple of values of k, such as 1, 2, 3.

Answer 3

I still don't quite understand...........

Answer 4

???

Answer 5

g(x)=f(x)-2

Answer 6

"If g(x) is obtained by shifting f(x) down by 2 units" this written down mathematically is saying
g(x)=f(x)-2

Answer 7

I think the value of k is 2, but I'm not really sure.

Answer 8

Oh, wait I just saw that you put that. Thx

Answer 9

yes exactly but lets be sure :)q

Answer 10

Kk

Answer 11

g(x)=f(x)-2
lets see what we are given
g(x)= (0.5)^x -k
f(x)= (0.5)^x

sub these into the main equation : g(x)=f(x)-2
(0.5)^x -k = (0.5)^x - 2
so what is k? or solve for k

Answer 12

what value of k makes this equality true

Answer 13

2

Answer 14

Do you think you could help me with one more?

Answer 15

ok

Answer 16

The present value of a house is $242,000. The value of the house increases at the rate of 4% per year. A function is shown below:
f(x)= 242,000(1.04)^x

(The x is an exponent, just in case you didn't know)

What does f(x) represent?
A) The original value of the house.
B) The future value of the house after x years.
C) The increase in the value of the house each year.
D) The increase in the value of the house after x years.

I'm torn between B & D, but I'm leaning towards D.

Answer 17

What do you think?

Answer 18

the future value of hte house after x years

Answer 19

for example

Answer 20

think about 1 year what happens
the house will be worth
242,000 + 0.04*242,000
if u factor 242000 u get
242,000(1+0.04)

Answer 21

now for the 2nd year this price of the house is once again increased by 0.04 percent
price after 1st year
242,000(1+0.04)
price after 2nd year
242,000(1+0.04) + 0.04*(242,000(1+0.04))
factor again
242,000(1+0.04)(1+0.04)
simplify
242,000(1+0.04)^2
this way the price after x years must be
242,000(1+0.04)^x

Answer 22

Oh, so the answer is B because it's talking about the future not just a normal increase?

Answer 23

the answer is B and not D because B is talking about the total price of the house currently
and D just wants the increase of the house price after x years to get just the increase in price it is
242,000(1+0.04)^x - 242,000

Answer 24

Oh, ok. Thx!!!

Answer 25

I fanned and gave you a medal :D

Answer 26

okay :)

Answer 27

you're welcome