Posted by **tiona** on Thursday, November 10, 2011 at 1:06am.

Given the equation x^2 +y^2+8y-65=0

(a) Write the equation in standard form.

(b) State the center, radius, and intercepts.

(c) Submit the graph

- math -
**Jai**, Thursday, November 10, 2011 at 6:56am
(a)

to write this in standard form, you use completing the square for both variables x and y.

x^2 + y^2 + 8y - 65 = 0

x^2 + (y^2 + 8y + 16) - 65 - 16 = 0

x^2 + (y + 4)^2 - 81 = 0

x^2 + (y + 4)^2 = 81

x^2 + (y + 4)^2 = 9^2

(b)

Center: C(0, -4)

Radius = 9

to get intercepts,

x-intercept: let y=0 and solve for x

y-intercept: let x=0 and solve for y

(c)

with center and radius known, you can graph this on a graphing paper. use a compass to draw the circle.

hope this helps~ :)

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