Name:    Parabolas

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Write the equation in the standard form for a parabola.

1. a. c. b. d. 2. a. c. b. d. 3.

Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix, and the direction of opening of the parabola with the equation . Then find the length of the latus rectum and graph the parabola.
 a. The coordinates of the vertex and focus are (–5, 2) and ( , 2) respectively.The equations of the axis of symmetry and directrix are x = –5 and x = respectively.The direction of the opening is right and the length of the latus rectum is units.The graph of the parabola is as follows: c. The coordinates of the vertex and focus are (–5, 2) and (2, ) respectively.The equations of the axis of symmetry and directrix are and x = respectively.The direction of the opening is right and the length of the latus rectum is units.The graph of the parabola is as follows: b. The coordinates of the vertex and focus are (–5, 2) and ( , 2) respectively.The equations of the axis of symmetry and directrix are and x = respectively.The direction of the opening is right and the length of the latus rectum is units.The graph of the parabola is as follows: d. The coordinates of the vertex and focus are (–5, 2) and ( , 2) respectively.The equations of the axis of symmetry and directrix are and x = respectively.The direction of the opening is left and the length of the latus rectum is units.The graph of the parabola is as follows: 4.

Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix, and the direction of opening of the parabola with the equation y = 6x2 + 24x + 18. Then find the length of the latus rectum and graph the parabola.
 a. The coordinates of the vertex and focus are (2, –6) and (2, ) respectively.The equations of the axis of symmetry and directrix are and y = respectively.The direction of the opening is upward, and the length of the latus rectum is units.Thus, the graph of the parabola is as follows: c. The coordinates of the vertex and focus are (2, –6) and (2, ) respectively.The equations of the axis of symmetry and directrix are and y = respectively.The direction of opening is downward, and the length of the latus rectum is units. Thus, the graph of the parabola is as follows: b. The coordinates of the vertex and focus are (–2, –6) and (–2, ) respectively.The equations of the axis of symmetry and directrix are y = –6 and y = respectively.The direction of opening is upward, and the length of the latus rectum is units. Thus, the graph of the parabola is as follows: d. The coordinates of the vertex and focus are (–2, –6) and (–2, ) respectively. The equations of the axis of symmetry and directrix are and y = respectively.The direction of opening is upward, and the length of the latus rectum is units. Thus, the graph of the parabola is as follows: 