Calculus 1

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a series of things that will help me pass calculus if I remember them

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10 Terms

1
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when considering function transformation what happens in the following case? : f(x)+k

the function shifts up by k units

2
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when considering function transformation what happens in the following case? : f(x)-k

the function shifts down by k units

3
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when considering function transformation what happens in the following case? : f(x-h)

The function shifts right by h units

4
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when considering function transformation what happens in the following case? : f(x+h)

the function shifts left by h units

5
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when considering function transformation what happens in the following case? : -f(x)

The function reflects over the Y-axis

6
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when considering function transformation what happens in the following case? : f(-x)

The Function reflects over the X-Axis

7
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when considering function transformation what happens in the following case? : a * f(x) where a > 1

the function streatches away from the X-Axis

8
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when considering function transformation what happens in the following case? a* f(x) where 0 < a < 1

The function compacts twards the X-Axis

9
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when considering function transformation what happens in the following case?: f(bx), where b > 0

the function streches away from the Y-Axis

10
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when considering function transformation what happens in the following case? f(bx) where 0 < b < 1

The function contracts twards the Y-Axis