Question

write the standard equation of a circle with center (-4 0) and radius 3

Answer 1

A standard equation of a circle with center \(\large\color{black}{ (h,k) }\) and radius \(\large\color{black}{ r }\) is:

\(\large\color{black}{ (x-h)^2+(y-k)^2=r^2 }\)

Answer 2

A couple of examples:
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example 1:
A standard equation of a circle with center \(\large\color{black}{ (1,2) }\) and radius \(\large\color{black}{3 }\) is:

\(\large\color{black}{ (x-1)^2+(y-2)^2=9 }\)
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example 2:
A standard equation of a circle with center \(\large\color{black}{ (3,0) }\) and radius \(\large\color{black}{1 }\) is:

\(\large\color{black}{ (x-3)^2+y^2=1 }\)
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example 3:
A standard equation of a circle with center \(\large\color{black}{ (0,-4) }\) and radius \(\large\color{black}{5 }\) is:

\(\large\color{black}{ x^2+(y+4)^2=25 }\)

Answer 3

if the examples don't help let me know.... basically, if you have to say anything, you are more than welcome to do so....

Answer 4

A: (x-4)^2 +y^2=3
B:(x+4)^2 +y^2=3
C:(x-4)^2 +y^2=9
D:(x+4)^2 +y^2=9

Answer 5

@SolomonZelman

Answer 6

I see the options, so can you go ahead and complete the equation?
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A standard equation of a circle with center \(\large\color{black}{ (-4,0) }\) and radius \(\large\color{black}{3 }\) is:

\(\large\color{black}{ (x~~~~~~~)^2+(y~~~~~~~)^2=~~~~.}\)

Answer 7

can you feel in gaps, based on the examples that I went through

Answer 8

so A

Answer 9

@SolomonZelman

Answer 10

D

Answer 11

can you help with a few more @AlexandervonHumboldt2

Answer 12

yes post in separate post and tag me