# CONVERT EQUATION OF PARABOLA TO STANDARD FORM WORKSHEET

Write each of the following equations in the standard form for the equation of a parabola, where the standard form is represented by one of the following equations :

 (x - h)2 = 4p (y - k)(y - k)2 = 4p (x - h) (x - h)2 = -4p (y - k)(y - k)2 = -4p (x - h)

Problem 1 :

y2 - 14y - 2x + 43 = 0

Solution

Problem 2 :

x2 + 10x - 12y = -61

Solution

Problem 3 :

-9y = x2 - 8x  - 10

Solution

Problem 4 :

-7x = y2 - 10y  + 24

Solution

Problem 5 :

x = 3y2 - 24y + 50

Solution

Problem 6 :

y = 2x2 + 12x + 15

Solution

Problem 7 :

3x2 - 3x - 5 - y = 0

Solution

Problem 8 :

5y2 + 5y = x - 6

Solution

1)  (y - 7)2 = 2(x + 3).

2) (x + 5)2 = 12(y - 3).

3)  (x - 4)2 = -9(y - 26/9)

4)  (y - 5)2 = -7(x - 1/7)

5)  (y - 4)2 = x - 34.

6)  2(x + 3)2 = y - 6.

7) 3(x - 1/2)2 = y + 21/4.

8) 5(y + 1/2)2 = x - 23/4.

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