The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the image below. Which angles are congruent to 3? Select all that apply. 2 7 6 4

Part A

The vertex form of the equation of a horizontal parabola is given by

.

where is the vertex.

Use the point tool to plot the focus, .

Move 8 units to write and draw a vertical line using the line tool.

The equation of this vertical line is .

This is the drectrix of the parabola.

See first graph in the attachment.

Part B

Construct the line that is perpendicular to the directrix using the perpendicular line tool.

Pick the perpendicular line tool from the tool bar and then select the focus and the directrix, the line .

This horizontal line is the axis of symmetry of the parabola.

The coordinates of the point of intersection,A of the axis of symmetry and the directrix of the parabola is .

See second graph in the attachment.

Part C

To locate the vertex, V of the parabola, we find the midpoint of the given focus, and the point

The vertex will then have coordinates .

Part D

The parabola will open to the left. The reason is that the parabola must open in the opposite direction to the directrix.

Part E

The absolute value of p, is the distance from either the focus or the directrix to the vertex.

The value of p will be negative because the parabola opens to the left

Part F

Since the parabola opens the left, we must have

See third graph in the attachment.