Page 31 - Math SL HB Sem 2

PAIER 2 @IFFERENTTATTON)

0 The following diagram shows part ofthe graph ofa quadratic function, with equation in the
form y: (: -p)(.r - q),where p, q e Z.

4

3
)

I

-2 -l 234 6
-t
-2
-3
-4

(a) Write down

(i) the value ofp and ofg;

(iD the equation ofthe axis of symmetry ofthe curve.
(3)

:
(b) Find the equation of the function in the form (x - h)2 + k, where h, k e Z.
7
(3)

dy
(c) Find
d-x
(2)

(d) Let f be the tangent to the curve at the point (0, 5). Find the equation of Z.
(2\
(Total l0 marks)

1