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a series of things that will help me pass calculus if I remember them
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when considering function transformation what happens in the following case? : f(x)+k
the function shifts up by k units
when considering function transformation what happens in the following case? : f(x)-k
the function shifts down by k units
when considering function transformation what happens in the following case? : f(x-h)
The function shifts right by h units
when considering function transformation what happens in the following case? : f(x+h)
the function shifts left by h units
when considering function transformation what happens in the following case? : -f(x)
The function reflects over the Y-axis
when considering function transformation what happens in the following case? : f(-x)
The Function reflects over the X-Axis
when considering function transformation what happens in the following case? : a * f(x) where a > 1
the function streatches away from the X-Axis
when considering function transformation what happens in the following case? a* f(x) where 0 < a < 1
The function compacts twards the X-Axis
when considering function transformation what happens in the following case?: f(bx), where b > 0
the function streches away from the Y-Axis
when considering function transformation what happens in the following case? f(bx) where 0 < b < 1
The function contracts twards the Y-Axis