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Mathematics 20 Online
ThatCreepyBoy:

What transformation has changed the parent function f(x) = (.5)x to its new appearance shown in the graph below?

ThatCreepyBoy:

1 attachment
Vocaloid:

is the x supposed to be an exponent

ThatCreepyBoy:

Yes maams sorry :O

Vocaloid:

well, we plug in x = -1 to (0.5)^x then we get 2 the new function has (-1,0.5) so we have shrunk by a factor of 1/4

Vocaloid:

so you would multiply the whole thing by (1/4) to get your answer

Vocaloid:

ans should be something like (1/4)(.5)^x

ThatCreepyBoy:

o.o I FORGOT TO POST THE ANSWER CHOICES JFSODSDJSDO

ThatCreepyBoy:

f(x) − 2 f(x + 2) f(x) + 1 −1 • f(x)

Vocaloid:

oh dear

ThatCreepyBoy:

Sorry >_<

Vocaloid:

well, it went from (0,1) to (-2,1) so the graph got shifted to the left 2 units

Vocaloid:

any idea which choice matches?

ThatCreepyBoy:

The first one? :O

Vocaloid:

not quite, that would be translating down 2 units, not left hint: f(x+h) means a translation to the left by h units

ThatCreepyBoy:

Oh waittt the third one? o.o

Vocaloid:

we want to translate to the left by 2 units you have the formula f(x+h) which will translate to the left by "h"' units replace "h" with "2" to get your answer

ThatCreepyBoy:

I KNEW IT! THE SECOND ONE!

Vocaloid:

good, that's your ans

ThatCreepyBoy:

Yay! Thank you! :D

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