Question

Multiple choice questions Question 1 The graph of y=5 + 9x - 2r2 (24, 154) (22 154) 1. opens downwards and has vertex 2. opens upwards and has vertex 3. opens downwards and has vertex 4. opensupwards and has vertex 5. opens downwards and has vertex (-24154) Question 2 -5 20 are the values of for which the graph of y 2r2 - 11115 The solutions of T 3-r 1. lies above the r-axis 2. lies -axis, excluding on or above the r- T= 3. lies below the I-axis 4. lies on or below the r-axis, excluding 5. lies on or below the r-axis, excluding 2 T= 3 and r C Question 3 Suppose the function f is defined by 2ry 25 =0. Which of the following statements is / are true? A. The graph of f is a hyperbola which lies in the first and third quadrants. The shortest distance from the origin to a point on the graph of f is 5 units. В. rcuts the graph of f in two points 2. Only B 5. А, В аnd С The line defined by y C. 3. Only C 1. Only A 4. Only A and B Question 4 Suppose that y defined by r+y= D (for ry9 0). A and C are in the same A and C Which of the following statements is/are true? 3 and ry9= 0 are equations that define two different hyperbolas. The line 0 cuts each of the hyperbolas twice, at the points A and B (for y-2) and C and e quadrant; B and D are both in the quadrant opposite - T points of intersection A. The hyperbolas have The hyperbolas both lie in quadrants 2 and 4. The ratio of the 1 coordinate of A to the r-coordinate of C is по B. C. 1. Only A 4. Only A and B 2. Only B 5. А, В and С 3. Only C oles

Answer 1

Ces) y5+ 9x-2x y-2x 5 Since, the toetficient megative The graph ill open deunuards, 2 ule know that, / at wertex lope of ghaph is zero - 2 x+ 9x+5 cly 4x+9- 2 +92+5 Put n -2% +5 -27 81 16 81 +5 (2 IS Op.ens deuunuiards and (2 15 has uertix
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22-5 o CAuts 2) 3-2 2 -51O 2-3 2 TH 5 3 5mcuded and 3 excluded 2 2 22 112 + 15 OND .2x -62-5 0 15 (2-5) (x-3) amd 3 are the sroots 2 2ニ0ニ) y=15 Graph of 2x-11x+ 15 CO,15) 2:/ouh od 50) (3,0) 2 for nihich graph Malues of lies en or below x axis exeluding 3 ophon 4
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Ques3) 2y-25 O Rectangulas - 25 - 2 N 250 2 b9h Craph lies n I and IL uadant Thus graph nuprisents eetangulas Jyprbola cnd lies in Iand uadrant Minimum distomce is neached uhen 2 y 2 5 2 +5 2 Dis tamce betuetm f5 (0,0) and 2 2 25 +25 5-0 $2 25 S Shortest distamee 5 units I and L yxpasses through auadrant Hene it ut at tuo penty A,B,C
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(aues) y3 and ay +9-o 9 -3 <0 -9<0 Both hyper bola IT and IV auadaant. ie -9 Ay=-3 -3-9 A hyper bola denot in terseet Botth A cund B Cut cut 2 3 E 31 (= R-2 (V3,3)and -33) 3 A-) (3,-3) BE ) C-3, ) Let
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- RAX 0 ut yt 9=0 at cand D 6-(A)A- +311 03-3) and -3,3) A and c same auadrand A S C(3/-3) B and D OPposite to A ande B) C-3,3) DE) -3,3). X Leeidinate t A 3 X ceerdinati of c3 Ratio ArB and C

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