FINDING EQUATION OF PARABOLA FROM GRAPH WORKSHEET

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

VERTEX FORM

STANDARD FORM

1)

2)

3)

y = 1/2 x2 + 2

y = -2(x - 2)2

y = (x + 3)2 + 2

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

Write the equation of the parabola in vertex form.

Problem 1 :

eqautionofparabolaq1

Solution

Problem 2 :

eqautionofparabolaq2

Solution

Problem 3 :

eqautionofparabolaq3

Solution

Problem 4 :

eqautionofparabolaq4

Solution

Problem 5 :

eqautionofparabolaq5

Solution

Answer Key

1) y = x2 - 5

2)  y = x2 + 2

3)  y = (x - 2)2

4)  y = (-1/2)x2 + 4

5)  y = -3(x + 3)2 + 5

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