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Question 1 A. Draw triangle DEF given D(1,2), E(3,5) and F(6,9), then reflect it through the origin. State the coordinates of triangle D' E' F'. B. Triangle ABC with vertices A(2,-4), B(7,-1) and C(-5,3) is reflected in the line y = x. Calculate A'B'C'. C. Triangle POR has vertices P(7,1), 2( 6,2) and R(5,-1) . Determine its image under the reflection in the y-axis followed by a reflection in the line y =-x. D. A pentagon ABCDE has vertices A(-3,2), B(1,-9), C(5,6), D(-1,-4) and E(1,2). Determine the vertices of the image of the pentagon under an anticlockwise rotation about the origin through an angle of 90%. E. Trapezium KLMN is mapped onto trapezium K'L'M'N' with vertices K'(1,5), L'(3,5), M'(4,4) and N'(-1,1) under the translation T'=. Determine the vertices of trapezium KLMN . F. A transformation H consists of a translation T= followed by a reflection in the x- axis. Determine the image under H of triangle UVW with vertices U(2, 3), V (4,5), and W (5,2). Question 2 A. Write 2x +8x +13 in the form a(x+h) + k where a, h and k are constants. B. Sketch the graph of f (x) = 2x3 +8x+13. Write the coordinates of the: i. y-intercept ii. minimum point C. A ray OC stands on a line AOB. Determine the value of x, if ZCOA= 2x-30 and ZCOB = 3x+80 . Hence determine the measure of ZCOA. D. The four angles of a quadrilateral are in the ratio 1:5:6:8. Determine the measure of the angles. E. In the rectangle WXYZ, angle XOY = 570. Determine the angles labelled 1, 2 and 3. F. The diagram below, not drawn to scale, shows a circle with centre O. The points A, B, C and D lie on the circumference of the circle. Angle BAD = 70, angle BOD = x and angle BCD = y Calculate, giving reasons for your answer, the value of x and y. Question 3 A. Copy and complete the table below for g(x) = x + 2x-15 8(x) -7 -15 * 4 -3 -2 - 1 0 1 2 3 4 -15 B. Using 2 cm to represent 1 unit on the x-axis and I cm to represent 1 unit on the y-axis, draw the graph of g (x) = x +2x-15 C. Using the same scale and axes, draw the graph of h(x) = x-3. Hence, solve x? + 2x-15 = x-3 D. Determine the gradient at the point where x = 2 E. State the interval of the domain for which the element of the range is less than zero. Estimate the maximum or minimum value for the function and indicate on your graph the equation of axis of symmetry. Question 4 A. Joanna starting a car from rest accelerates uniformly to a speed of 50Km/h in 8 minutes. She maintains this speed for another 5 minutes, then applies the brakes and decelerates uniformly to rest in 3 minutes. Draw a velocity-time graph to show the different segments of the journey. B. Calculate the: i. acceleration in Km/h during the first 8 minutes of the journey. ii. deceleration in Km/h" for the last 3 minutes of the journey iii. total distance covered in Km for the entire journey iv. average speed for the entire journey in Km/h. Round answer to whole number. C. The diagram below, not drawn to scale, shows two parallel lines XY and ZW cut by a transversal line CD. Use the diagram to determine the unknown angles numbered 1 to 7 D. Construct triangle ABC, given that ZB = 60 and BC = 8cm . Measure and state the length of AB. Using triangle ABC, determine the number of rotational symmetry

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