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5.2 Properties of Parabolas
y = ax 2 + bx + c Standard Form c is the y-intercept. If b = 0 then y = ax 2 + c Axis of symmetry: x = 0 Vertex (0, c)
EX 1 Graph: y =
If a > 0 then opens up. If a < 0 then opens down. Axis of Symmetry: x =
EX 2 Graph y =
The y value of the vertex is the maximum or minimum of the quadratic function.
EX 3 Graph y =
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5.1 Modeling Data with Quadratic Functions. Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0.
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