Question

QUESTION Determine the of > 412) 6: 5-6 and form the first terms of a quienes 3.2.1 Show tax-3 Determine expon for the general term of the sequence QUESTION 4 The diagram shows the graphs of(x) = -2 - 4x + 6 and g) + and Care the incepts of with the snes, T is the burning point of the graph of the graph of gisa straight line parallel to AC, and is a long to the graph of JD Determine the lengths of OC and AB 42 Determine the equation of the axis of symmetry of the graph of 43 Show that the length of ST = units 4.4 Calculate the gradient of AC 45 Hence, or otherwise, calculate the coordinates of D. For which value(s) of a will /(a+) = f(a-t) for all values of i?

Answer 1

S O (e-rx8 get = 2 Questiony solulia: g A o S Here f(x) = 0 -27 2- yatt the axis of symmetry of f es given by 24/=0 fa=- fr and ga= mate For the a-intercept of f we have ya f(n) 20 > 3) 2+2x-3=0-> a = -3,1 so in the graph A= (-3,0) and BE For y intercept of f we have y = f(a) = 6 4.1 - 6 unit. 36 (4+ o 42 there y = f(n) = -222 ayat=-2 (8+2x-3 9 -£19-8) = (x+1)2 - 22-yett (x+3)(n-1)=0 (10) unit and AB wita ric unit = y unit -->{ 2+1 -43 so pulling a-1 in fray we have y=f(-1) = -2+y+6=8 a . T = (-1,8) and S=(-1,0) 8 unit. Gradient of AC = -2 3 As q es parallel to Ac so m= 2:8= 2x+c ST - ✓ (87 unit 4.5

Now the touching point I we - 22-yat 6 う 22 + 2x + (-5) = 0 line g touches the core of art must have Lis criminant of 200 → 6*~4x2x1e-9 -0 8 (C-1) = 36-> + AS 46 21 in ③ we love & g() = 2a + 2 / 2 Now putting c = 24 2a +62+ - = 0 7 2 22th & 2 Yn't 12x+9=0 o 9 7 2013 -o » 9 (2x2+3)==0 1 = -² 2X(-²) + 11 = -3 + 2 = 4 ...D= (-3/4) fraft) frant) -2(att)? y caet) to -2(a-t? _y (art) +6 7 ?{(9-17 (artf} uscat_seat = 4x2t 3 7 - 2x Yx axt ---- the refusied value of a l' -|-