Question

write the equation 2x^2+2y^2=8x-16y-32

Answer 1

state whether the graph is a parabola, ellipse,hyperbola or circle

Answer 2

It is a circle.

Answer 3

2x^2 - 8x + 2y^2 +16y = -32

x^2 - 4x + y^2 + 8y = -16

x^2 - 4x +y^2 + 8y + 16 = 0

not a lot else to do...

Answer 4

2 (x-2)^2+2 (y+4)^2-8 = 0

Answer 5

Divide out a 2

--> (x-2)^2 +(y+4)^2 = 4

circle with radius 2 and center (2,-4)