TASK 8: GRAPH AND REAL LIFE Question 1: S 13 [5 B Joint Kit) th The accompanying figure shows the graph of 16 Marks, 30 mins f (x) = ax2 + bx+c. rensions (mm) Minimum Cable Maximum Cab Diameter Diameter The graph goes through the origin and reaches (20;10) its maximum value of 10 units when x = 20. a) Determine the values of a, b and c. B y = a ( x - RI ) (x- 12) 40 (5) amo 16 - a ( 20 -0) ( 20-40 ) a = =+ 10 2-9 ( 20) (- 20 ) 6 = 1 2100 C = OF - 400 = 9 ( x e - 0 ) ( 2 - 410 ) I-Camo 40 Useful Facts ( x2 -40 x ) 1 HP 746 Watt y = -x2+x 1 KW 1.341 HP b) If the curve above represents the arch of a bridge, DECEMBER 3097 T W and OB on the x-axis represents the road surface, maire determine the length of the road spanned by the 5.4 mm S bridge. (Let 1 unit = 1 metre) 12 19 20 (3) 27 0.4545 kg 24 DECEMBER SMTV WTF TE AND 7 GO w 14 21 2 23 S M 28 9 30 wable Er F rumenta Equip c) If the values for a and c, found in question 8a are unchanged, but the value of b is doubled, what will the length be of OB? (4) IBUTE AND SUPPLY Volta 30 ons Renewable Energy 3-P d Instrumentation Cables d Line Equipment and Conductors Low Voltage Products tionsQuestion 2: N g (x) = Itp+ Cable Splicing Guide (ARB Joint Kit) Part of the logo alongside (for the Green Leaf Tech Company) is a function of the form - + q for x > -3 ARB ensions (mm) Reterence Length Diameter Minimum Cabb Diameter ARBO The function also has the following properties: ARBO As x increases, the graph decreases. ARBO The range of the graph is y > -2 ARB1 240 It has a y-intercept at 1 ARB1 ARB2 270 ARB2 270 ARB2.5 310 ARB2.5 310 Draw a possible sketch of the function . THREE ARB3 400 RB3.5 432 LEAF TECH ARB3.5 10 - 2 INTERNET CONSULTING ARB4 550 ARB4 ARES 26 Copperweld- BCEW BCEW O.D. (mm) Area (mm zuit Current @ 1 sec, KA 147.11 2143. 116.99 32.94 12.5 93.27 18.53 70 10.5 65.81 50 4.47 16 Qragn OVEMBER SMT W 20 21 12 1. 4 5 00 27 28 26 ainze trans