Math - Shifting Graphs Unit
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23 Terms
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Quadratic Function
y=x^2
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Cubic Function
y=x^3
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Square Root Function
y=√x
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Cube Root Function
y=^3√x
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Absolute Value Function
y=lxl
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Reciprocal (Rational) Function
y=1/x
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Exponential Function
y=e^x
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f(x)
Original Parent Function (x,y)
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\-f(x)
Reflection over the x-axis (x,-y)
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3f(x)
Vertical Stretch by 3 (x,3y)
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f(-x)
Reflection over the y-axis (-x,y)
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f(3x)
Horizontal shrink by 1/3 (1/3x, y)
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f(x+3)
Left by 3 (x-3,y)
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f(x-3)
Right by 3 (x+3, y)
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f(x)+3
Up by 3 (x, y+3)
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f(x)-3
Down by 3 (x,y-3)
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(-)a value
(Reflection over x-axis)
Vertical Stretch/Shrink \[a>1 stretch / 0
Vertical Stretch/Shrink \[a>1 stretch / 0
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(-)b value
(Reflection over y-axis)
Horizontal Stretch/Shrink \[b>1 shrink / 0
Horizontal Stretch/Shrink \[b>1 shrink / 0
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(x+c)
Left c
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(x-c)
Right c
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Grouping symbol outside of b(x+ - c)
Determines Function (square root, cubed, etc)
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\+d (outside of x value)
Up d
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\-d (outside of x value)
Down d