EXAM 2 MIZZOU College Algebra
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To find X-intercepts
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Solve f(x)=0, (ordered pair)
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To find y-intercepts
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Find y= f(0), (ordered pair)
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Even Functions
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Symmetric about the y-axis, f(-x)=f(x)
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Odd Functions
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Symmetric about the origin, f(-x)=-f(x)
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f(x)+k
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Vertical Shift Up
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f(x)-k
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Vertical Shift Down
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f(x+h)
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Horizontal shift left
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f(x-h)
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horizontal shift right
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-f(x)
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Vertical reflection over X-axis (x,-y)
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f(-x)
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Horizontal reflection over Y-axis (-x,y)
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af(x), |a|>1
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Vertical Stretch (x,ay)
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af(x), 0<|a|<1
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Vertical Shrink (x,ay)
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f(bx), |b|>1
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Horizontal Shrink (1/bx,y)
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f(bx), 0<|b|<1
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Horizontal Stretch (1/bx,y)
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x=a
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Vertical line through point (a,0)
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y=b
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Horizontal line through point (0,b)
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y=x
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Line graph
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y=x^2
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Parabola
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y=Sqrt(x)
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Half of a side ways parabola
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y=x^3
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curve up
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y=|x|
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V graph
