Asked by tiona
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
(a) Write the equation in standard form.
(b) State the center, radius, and intercepts.
(c) Submit the graph
Answers
Answered by
Steve
rearrange terms to complete the squares:
x^2 + (y^2 + 8y + 16) = 65 + 16
x^2 + (y+4)^2 = 9^2
center: (0,-4)
radius: 9
y-intercepts: (0,-13) and (0,5)
x-intercepts: (-√65,0) and (√65,0)
x^2 + (y^2 + 8y + 16) = 65 + 16
x^2 + (y+4)^2 = 9^2
center: (0,-4)
radius: 9
y-intercepts: (0,-13) and (0,5)
x-intercepts: (-√65,0) and (√65,0)
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