FROM GIVEN INFORMATION FIND EQUATION OF PARABOLA WORKSHEET

Write an equation in standard form for the parabola satisfying the given conditions.

Problem 1 :

Focus: (9, 0); Directrix: x = -9

Solution

Problem 2 :

Focus: (-10, 0); Directrix: x = 10

Solution

Problem 3 :

Vertex: (5, -2); Focus (7, -2)

Solution

Problem 4 :

Focus: (2, 4); Directrix: x = -4

Solution

Problem 5 :

parabola-q5.png

Solution

Problem 6 :

parabola-q6.png

Solution

Answer Key

1)  y= 36x

2)  y2= -40x

3)  (y + 2)2 = 8(x - 5)

4)  (y - 4)2 = 12(x + 1)

5)  (y - 1)2 = 8x

6)  x2 = -12(y - 1)

Find the equation of each of the following parabolas in the following forms.

i)  Vertex form

ii) Standard form

Problem 1 :

equofparabolaq1

Solution

Problem 2 :

equofparabolaq2

Solution

Problem 3 :

equofparabolaq3

Solution

Find the equations of parabolas shown in the following forms :

i) Intercept form

ii) Standard form

Problem 4 :

equofparabolaq4

Solution

Problem 5 :

equofparabolaq5

Solution

Problem 6 :

equofparabolaq6

Solution

Answer Key


1.

2.

3.

Vertex form

y = 1/2 x2 + 2

y = -2(x - 2)2

y = (x + 3)2 + 2

Standard form

x2 - 2y + 4 = 0

 y = -2x2 + 8x - 8

y = x2 + 6x + 11


4.

5.

6.

Intercept form

y = 1/2(x + 2) (x - 4)

y = -1/2(x + 2) (x - 3)

y = 4 (x - 2)2 - 8

Standard form

y = 1/2(x2 - 2x - 8)

y = -1/2(x2 - x - 6)

y = 4x2 - 16x + 8

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