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

Answer Key

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.

CONVERT EQUATION OF PARABOLA TO STANDARD FORM WORKSHEET

Answer Key

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