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Mathematics 19 Online
OpenStudy (anonymous):

Helpppp pplease!!!!

OpenStudy (anonymous):

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 ________. Numerical Answers Expected! Answer for Blank 1:

OpenStudy (anonymous):

@Michele_Laino , @triciaal , @Nnesha

OpenStudy (anonymous):

@AlexandervonHumboldt2

OpenStudy (anonymous):

@dan815 please help me with math

OpenStudy (michele_laino):

it is simple since I have to decrease the value of the y-coordinate by 2 units, so k=2

OpenStudy (anonymous):

so it is K = 2 ?

Nnesha (nnesha):

\[\large\rm f(x-h)=\] horizontal shift \[\large\rm f(x)+k=\] vertical shift h units shift to the right or left ( if h is negative then some units to the right , if h is positive then some units to the left) k = vertical shift k tells us how many units we should shift the graph up or down if it's negative then k units down if it is positive then k units up

OpenStudy (anonymous):

okay so it would be k = -2 right?

Nnesha (nnesha):

`down by 2 units `

Nnesha (nnesha):

negative sing is already in the equation \[\large\rm y=(0.5)^x\color{ReD}{ -} k\] i guess x is an exponent right

OpenStudy (anonymous):

yess

OpenStudy (anonymous):

so it would be a negative number right?

OpenStudy (anonymous):

Nvr mind I saw what you said, it is already in the equation

Nnesha (nnesha):

hmm let's say it's -2 sub k for -2 \[\large\rm y=(0.5)^x\color{ReD}{ -} (-2)\] you should substitute -2 by -1 = `+2` by the question says `down 2 unit`

Nnesha (nnesha):

but* not by

OpenStudy (anonymous):

so it is 2 then right? @Nnesha

OpenStudy (michele_laino):

that's right!

OpenStudy (anonymous):

Thanks @Michele_Laino !!!

OpenStudy (michele_laino):

:)

Nnesha (nnesha):

\[\large\rm y=(0.5)^x\color{ReD}{ -} (+2)\] looks good to me 2

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