Conic Sections and Their Equations

x^2 + y^2 = 4

x^2 + y = 1

x^2 - y^2 = 1

x^2 + y^2 = 1

By comparing the signs of the squared terms

By checking if one variable is squared

By comparing the coefficients of the squared terms

By checking if both variables are squared

(x - 4)^2 + (y + 3)^2 = 25

(x + 4)^2 + (y - 3)^2 = 25

(x - 4)^2 + (y - 3)^2 = 5

(x + 4)^2 + (y + 3)^2 = 5

6

3

4

5

(x + 5)^2/16 + (y + 5)^2/9 = 1

(x + 5)^2/9 + (y + 5)^2/16 = 1

(x - 5)^2/9 + (y - 5)^2/16 = 1

(x - 5)^2/16 + (y - 5)^2/9 = 1

y = -1

y = 3

x = -4

x = 2

Using the formula y = ax^2 + bx + c

Using the formula y - k = ±(b/a)(x - h)

Using the formula y = mx + b

Using the formula y - k = ±(a/b)(x - h)

(x - 2)^2 = 8(y - 3)

(x + 2)^2 = 8(y + 3)

(x - 2)^2 = 4(y - 3)

(x + 2)^2 = 4(y + 3)

(x - 4)^2 + (y - 6)^2 = 5

(x + 4)^2 + (y + 6)^2 = 25

(x - 4)^2 + (y - 6)^2 = 25

(x + 4)^2 + (y + 6)^2 = 5

(x + 5)^2/16 - (y - 5)^2/9 = 1

(x - 5)^2/16 - (y + 5)^2/9 = 1

(x - 5)^2/9 - (y + 5)^2/16 = 1

(x + 5)^2/9 - (y - 5)^2/16 = 1