# algebra

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Quartics using P(X) = af(b(x-c)+d
Recall Q(X) = (x-2)(x-1)(x+1)(x+2)
a)Choosing a
(i) Rewrite Q(x) for a. Let b = 1, c = 0 and d = 0
(ii) Make 3 copies of the same function on your calculator
Let a= -1, 1 and 2
Y1= __________(a=-1)
Y2= __________(a=1)
Y3= __________(a=2)
(iii) The above functions share the same x - intercepts and are called a family of functions. Find the value of a which causes Q(X) to pass through
(I)(0,4) a = _______
(II) (3,80) a = _______

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