# algebra

posted by
**Mable** on
.

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

Your equations are

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 = _______