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: