Question

Help Please!!! fan & medal

Answer 1

Need Help

Answer 2

Which type of conic section is represented by the equation (x - 3)^2 + (y + 1)^2 = 9

Answer 3

How do i do this my teacher never showed me?

Answer 4

Circle, parabol, hyperbola or ellipse

Answer 5

umm

Answer 6

the coefficients of the square terms are the same (they are both 1) so it is a circle

Answer 7

How are they both 1?

Answer 8

\[(x - 3)^2 + (y + 1)^2 = 9\] looks like
\[(x-h)^2+(y-k)^2=r^2\] where \(h=3,k=-1,r=3\) so it is a circle with center \((3,-1)\) and radius \(3\)

Answer 9

@Kelsey42@

Answer 10

if you multiply out \((x-3)^2\) the coefficient of the \(x^2\) term will be 1
it will be \(x^2-6x+9\)

Answer 11

similar for the \(y\) term

Answer 12

Oh okay thx

Answer 13

But how do i determine other ones

Answer 14

such as..
x^2/16 + y^2/4 = 1

Answer 15

@satellite73

Answer 16

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Answer 17

@@ganeshie8