WRITING EQUATION OF PARABOLA WITH VERTEX AND FOCUS WORKSEHEET

Find the equation of the parabola that satisfies the given conditions.

Problem 1 :

Vertex (0, 0) and focus (0, -2)

Solution

Problem 2 :

Vertex (3, 2) and focus (3, 6)

Solution

Problem 3 :

Find the vertex and focus of the parabola. 

(y - 2)² + 16(x - 3) = 0

Solution

Problem 4 :

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0, 7)

Solution

Problem 5 :

Find the equation of the parabola with vertex at (5, 4) and focus at (-3, 4).

Solution

Problem 6 :

A cross section of a parabolic reflector is shown in the figure. The bulb is located at the focus and the opening at the focus is 10 cm.

a) Find the equation of parabola

b) Find the diameter of the opening |CD|, 11 cm from the vertex.

Solution

Problem 7 :

Find the equation of the parabola. Then find focus and directrix.

Solution

Problem 8 :

Solution

Problem 1 :

Write the equation of parabola which has focus at (3, 8) and directrix at y = 4.

Solution

Problem 2 :

Write the equation of parabola which has focus at (2, -3) and directrix at x = 5

Solution

Problem 3 :

Write the equation of parabola which has focus at (-4, -2) and directrix at x = -8

Solution