1. U 2a) b) down y-value x-intercept y=ax2+bx+c negative second factored vertex c

3a) GCF=3 b) GCF=y or − y 4a) 3(2 x+6 y−z ) b) y (−2 y3+4 y2+1) or − y (2 y3−4 y2−1)5a) b) c)

6i) V=(3,8) ii) x−∫¿1∧5 iii) y−∫¿−10 iv) aos is x=1+52

=62=3 v) opens down – maximum

vi) max value of 8

vii) Moving from the vertex normally (when a=1) is 1 over and 1 down 2 over and 4 down Looking at the graph, we moved 1 over and 2 down 2 over and 4 downWe multiplied by 2 – thus the value of a is 2

7a) (e−6)(e+6) b) c) d)

8a) b) c)

9.

10a) The height of the bridge is 21.3 metres

b)

c) y=−0.0044 ¿

Therefore the wire is 21.2m long 5m from the middle.11a)

b) height = 4×6.5=26 feet width = 8×8.4=67.2 feet