Let f(x) be a linear function. Choose the best description for the function 3f(x) - 3.
A. f(x) stretched by a factor of 3 and shifted down 3 units
B. Not a transformation of f(x)
C. f(x) stretched by a factor of 3 and shifted up 3 units
D. f(x) shifted down 3 units
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OpenStudy (jtug6):
ok sorry about that was afk for a bit. so you have some linear function defined as f(x), right? And now we're being asked to describe a new function thats kind of modifying the first function, right? It's being multiplied by 3, and then being subtracted by 3, right?
OpenStudy (andiemarinn):
yes
OpenStudy (jtug6):
What happens then if its being multiplied by 3? For example is f(x) is oh, 3x right? Then 3(3x) = 9x. So whats the difference between 3x and 9x?
OpenStudy (jtug6):
Its being _____?
OpenStudy (andiemarinn):
6?
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OpenStudy (jtug6):
Well not exactly we're looking for the geometrical difference. It's being multiplied, so that means it's growing bigger or wider, right? Look back in your answers. It is being _____?
OpenStudy (andiemarinn):
stretched
OpenStudy (andiemarinn):
by a factor of 3
OpenStudy (andiemarinn):
and shifted up by 3?
OpenStudy (jtug6):
well, up would be positive, wouldnt it?
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OpenStudy (jtug6):
we have -3 ^_^
OpenStudy (andiemarinn):
so down
OpenStudy (andiemarinn):
sorry im so tired i cant really think atm
OpenStudy (jtug6):
yeah down =)
OpenStudy (andiemarinn):
so a?
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