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 5 units, the value of k is ________.

@FibonacciChick666

Answer 1

so, graph it to start

Answer 2

Okay, how would I graph it?

Answer 3

f(x)=y, then just pick some convenient x values

Answer 4

So, f(x) = (0.5)x?

Answer 5

wait..

Answer 6

yea

Answer 7

Okay.

Answer 8

now, what is the y intercept?

Answer 9

g(x)?

Answer 10

no, did you graph f(x)?

Answer 11

Yes.

Answer 12

at what x value does y=0?

Answer 13

Well, a y-intercept is a point in the equation where the x-value is zero.

Answer 14

I'm sorry, I'm really confused.

Answer 15

y = 0 when x does?

Answer 16

yea it's both intercepts in one sorry x and y, so I used interchangable words, now if you move it down 5 units, what is the y-intercept?

Answer 17

-7?

Answer 18

? what was the original y intercept?

Answer 19

y=0 x=0 correct?

Answer 20

Ohhh okay, so 5?

Answer 21

@FibonacciChick666

Answer 22

+ or -

Answer 23

then what is the standard eq of a line? then plug and chug :)

Answer 24

negative?

Answer 25

yea, so now what is the standard eq of a line?

Answer 26

I honestly have no clue.. lol im sorry.

Answer 27

ok, just google it then

Answer 28

okay, and -5 is the answer?

Answer 29

or use purplemath it's better

Answer 30

and no, not yet

Answer 31

you need to look at the standard and compare it to your given to determine k

Answer 32

okay, thanks! :)

Answer 33

np, what did you get?