Write the equation of the conic in standard form and then identify the conic.
x2 + 4x +y2 - 2y = 11 x2 + 4x + + y2 - 2y + = 11 + + Write the equation of the conic in standard form and then identify the conic.
x2 + 4x +y2 - 2y = 11 x2 + 4x + 4 (x + )2 + (y - + y2 - 2y + 1 = 11 + 4 + 1 )2 = Write the equation of the conic in standard form and then identify the conic.
x2 + 4x +y2 - 2y = 11 x2 + 4x + 4 (x + 2 )2 + (y - 1 + y2 - 2y + 1 Hyperbola Circle Ellipse Parabola )2 = 16 = 11 + 4 + 1 What is the center and radius of the circle? (x + 2 (2, -1) and r = 4 (2, -1) and r = 16 (-2, 1) and r = 16 (-2, 1) and r = 4 )2 + (y - 1 )2 = 16 9x2 - 4y2 - 18x - 16y = 43 9(x2 - x + ) - 4(y2 + 4y + )= 9x2 - 4y2 - 18x - 16y = 43 9(x2 - 2x + 1) - 4(y2 +4y + 4) = 36 9(x - )2 - 4(y + )2 = 36 9x2 - 4y2 - 18x - 16y = 43 9(x2 - 2x + 1) - 4(y2 +4y + 4) = 36 9(x - 1)2 - 4(y + 2)2 = 36 (x - 1)2 - (y + 2)2 = Identify the conic. (x - 1)2 - (y + 2)2 4 Hyperbola Circle Ellipse Parabola 9 = 1 4y2 - 3x + 7x2 - 7y = 18 Tell whether the equation is a circle, ellipse, parabola or hyperbola. Circle Ellipse Parabola Hyperbola Tell whether the equation is a circle, ellipse, parabola or hyperbola. y2 + 9y = 7x + 3x2 + 52 Circle Ellipse Parabola Hyperbola Tell whether the equation is a circle, ellipse, parabola or hyperbola. 2x2 + 4x +2y2 + 6y = 66 Circle Ellipse Parabola Hyperbola Tell whether the equation is a circle, ellipse, parabola or hyperbola. 5y2 + 6x - 10y = 50 Circle Ellipse Parabola Hyperbola Tell whether the equation is a circle, ellipse, parabola or hyperbola. x2 + 25y2 - 6x - 100y +84 = 0 Circle Ellipse Parabola Hyperbola Tell whether the equation is a circle, ellipse, parabola or hyperbola. 6xy = 96 Circle Ellipse Parabola Hyperbola |