FAN+MEDAL please help see pic abcd or e?
@jhonyy9 @Mehek14 @TheSmartOne @mathmate
???????????anyone
@jhonyy9
I do not work with letter choices, but I can offer you hint to get the right answer. In a transformation g(x)=a*f(x-h)+k a is a vertical stretch factor, stretches vertically if |a|>1 compresses vertically if 0<|a|<1 does above plus a reflection about the x-axis if a<0. h=horizontal displacement/translation. g(x) moves right (relative to f(x) ) |h| units if h>0 and moves left |h| units if h<0. k=vertical translation translates k units up if k>0, and translates |k| units down if k<0.
okay so i was thinking c?
C is not correct. Remember what he said, when h>0, which in this case it is, the translation is in the negative direction of the x-axis, or to the left.
Sorry, when h<0, it is a translation to the left, which it actually is. It's slightly confusing but the is what the equation is actually saying. f(x) = (x-(-1))^3... So again, the translation is in the negative direction of the x-axis.
There is confusion for a lot of people when the transformation equation is not examined carefully. The transformation equation is written: g(x)=a*f(x-h)+k note the negative sign before h. For example, \(f(x)=\sin^5(x)\) \(g(x)=\sin^5(x+\pi/2)\) we can see that we can rewrite g(x) as \(g(x)=\sin^5(x+\pi/2)=\sin^5(x-(-\pi/2)\) meaning that h=-pi/2, or the transformation is pi/2 units to the left, since h is negative.
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