Question

T he equation for a parabola with directrix y = –p and focus (0, p) is:

1.What is the parabola’s line of symmetry?

y-axis
x-axis
x = p
x = -p

Answer 1

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.