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Quadratic Functions, Captura de Pantalla 2022-09-30 a la(s) 14.02.45,…
Quadratic Functions
Elements
Vertex
Minumin or maximun point of the graph, we identify it by V(h,k)
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We also know that k is a function of k, so:
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Axis of Symmetry
The graph of any function is symmetrical on any vertical line, and since the axis of symmetry passes through the vertex
X-intercept
On the abcissas, the ordinates will always be 0, so:
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Y-intercept
On the ordinates, the first coordinate is always 0, so
so the cutoff point is (0,c)
Domain
Always (-infinite, infinite)
Range
If the concave is up (U = a>0) then the range is (k, infinite)
If the concave is down (∩ = a<0) then the range is (-infinite, k)
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Form:
a, b and c are real and a cannot be 0
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If a>0 then the curve is a happy smile, if a<0 it is a frown
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