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Using forms of quadratic functions: standard, vertex, focus

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Question
Answer
Three points --> Standard Form   Substitute points -- Solve system with matrix  
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Vertex & Point --> Vertex Form   Substitute point and vertex -- Find "a"  
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Focus & Vertex --> Focus form   Substitute "c" -- Substitute vertex  
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Standard Form --> Vertex Form   Use -b/2a to get vertex -- Use "a" value  
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Vertex Form --> Standard Form   Expand the binomial square -- Simplify  
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Vertex Form --> Focus Form   a = 1/4c  
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Focus Form --> Vertex Form   a = 1/4c  
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Standard Form --> Graph   Use -b/2a to get vertex -- "c" is y-intercept -- "a" is stretch factor  
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Vertex Form --> Graph   (h, k) vertex -- "a" is stretch factor  
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Focus Form --> Graph   (h, k) vertex -- "c" is focal length  
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Standard Form Formula   y=ax^2 + bx + c  
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Vertex Form Formula - Vertical Parabola   y=a(x - h)^2 + k  
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Vertex Form Formula - Horizontal Parabola   x=a(y - k)^2 + h -- be careful of (h, k) placement  
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Focus Form Formula - Vertical Parabola   y=1/4c(x - h)^2 + k  
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Focus Form Formula - Horizontal Parabola   x=1/4c(y - k)^2 + h -- be careful of (h, k) placement  
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Created by: lajerauld
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