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L12 Revision Week 6.pdf - Revision Lecture 12 MaS Week 6...

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Revision Lecture 12 MaSWeek 6 Term 11.Given that𝑓𝑓(𝑥𝑥) = 3− 𝑥𝑥 −2𝑥𝑥2express the following in simplified form:𝑓𝑓(3),𝑓𝑓(4𝑘𝑘)and𝑓𝑓(𝑥𝑥+ℎ)−𝑓𝑓(𝑥𝑥)2.Define functions𝑓𝑓,𝑔𝑔by𝑓𝑓(𝑥𝑥) =𝑥𝑥21𝑥𝑥2and𝑔𝑔(𝑥𝑥) =𝑓𝑓(𝑥𝑥3).(a)Simplify𝑓𝑓(𝑥𝑥) +𝑓𝑓 �𝑥𝑥(b)Determine if the function𝑔𝑔(𝑥𝑥)is odd, even or neither.Give reasons.(c)Is the function𝑓𝑓(𝑥𝑥) +𝑔𝑔(𝑥𝑥)odd, even or neither?Give reasons.3.Let𝑓𝑓(𝑥𝑥)be an odd function whose domain is all real𝑥𝑥What can you say about𝑓𝑓(0)4.Sketch these functions by translating and stretchingbasic functions like𝑦𝑦= |𝑥𝑥|,𝑦𝑦=𝑥𝑥3,𝑦𝑦𝑥𝑥and𝑦𝑦=𝑥𝑥2.Where possible find the𝑥𝑥and𝑦𝑦intercepts.(a)𝑦𝑦= 1|1− 𝑥𝑥|(b)𝑦𝑦= 2(𝑥𝑥 −2)31(c)𝑦𝑦=1|𝑥𝑥−2|(what are the asymptotes)(d)𝑦𝑦= 2(𝑥𝑥 −3)24(Vertex?)5.Find the equation of the parabola shown.1.?=1

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Quadratic equation, 180, 360, 225, 315

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