standardParabola
EQUATION OF PARABOLA
Let be the focus and be the equation of the directrix of the parabola. Let be a point
on the parabola. Let be the foot of the perpendicular from to the directrix. Then the coordinates of the point .
Now since the point on the parabola satisfies we get
Slide the slider below and move the point P on the parabola to observe the changes.
Q.1
Which line is the axis of the parabola?
Q.2
The parabola is symmetric about which axis?
Q.3
When the parabola is concave towards which part of x-axis?
Q.4
The focus sits on the axis true or false?
Q.5
When the focus comes to the positive part of x-axis, true or false?
Q.6
The focus and the directrix are on opposite sides of the parabola, true/false?
Q.7
Which point is the vertex of the parabola?
Q.8
The focus and the directrix are on the same side of the vertex, true or false?
Q.9
If is the equation of the parabola then check that are correct.
Q.10
If then what will happen to the vertex ?