BC Direction: Do the following activities. Write your answer on a separate sheet of paper. ACTIVITY 1: Determine the coordinates of the vertex, axis of symmetry, focus, focal distance length of latus rectum and endpoints of the latus rectum of the parabola with the given equation. Sketch the graph. 1. x2 = 4y 2. y2 = 16x 3. X2 = -8y 4. (x - 1)2 = 8(y - 4) 5. y2 = 12(x - 4) 6. (y - 3)2 = 2(x + 4) ACTIVITY 2: 1 . Write an equation of the parabola with vertical axis of symmetry, vertex at the point (0, -4), and passing through the point (1, -1). 2. Write an equation of the parabola with horizontal axis of symmetry, vertex at the point (-3, 1), and passing through the point (1/2, 4). Additional Activities Direction: Answer the following. Show your solution on a separate sheet of paper. A. State the direction in which the parabola opens. 1. x - 5 = (y -3)2 2. x- 7=-(1-5)2 3. -x2+ 2x+y-5=0 B. Determine the vertex, focus, the length and endpoints of the latus rectum. State the equation of the axis of symmetry and the directrix of the parabola 4. y2 = 8(x - 5) 5. (x + 4)2 = 4(y - 2) 6. (y - 7)2 = -12x