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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?

Select all that apply
  • A
  • B
Check my answer (3)

Q.5

When the focus comes to the positive part of x-axis, true or false?

Select all that apply
  • A
  • B
Check my answer (3)

Q.6

The focus and the directrix are on opposite sides of the parabola, true/false?

Select all that apply
  • A
  • B
Check my answer (3)

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?

Select all that apply
  • A
  • B
Check my answer (3)

Q.9

If is the equation of the parabola then check that are correct.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Q.10

If then what will happen to the vertex ?