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Parabolas

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Properties of Parabolas - cdn.kutasoftware.com

Properties of Parabolas - cdn.kutasoftware.com

cdn.kutasoftware.com

Properties of Parabolas Date_____ Period____ Identify the vertex of each. 1) y = x2 + 16 x + 64 2) y = 2x2 − 4x − 2 3) y = −x2 + 18 x − 75 4) y = −3x2 + 12 x − 10 Graph each equation. 5) y = x2 − 2x − 3 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 6) …

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Integral ch 7 - NCERT

Integral ch 7 - NCERT

www.ncert.nic.in

Let us consider the intersection of all these parabolas by a line x = a. In the Fig 7.1, we have taken a > 0. The same is true when a < 0. If the line x = a intersects the parabolas y = x2, y = x2 + 1, y = x2 + 2, y = x2 – 1, y = x2 – 2 at P 0, P 1, P 2, P –1, P –2 etc., respectively, then dy dx at these points equals 2a. This indicates ...

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