1 of 8 0-day streak

Determine a circle's equation and features

Question 1 of 8

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The circle has the centre–radius equation shown below

\left(x+2\right)^2+\left(y+6\right)^2=9

Identify the centre, positive radius and coordinate intervals for this circle

(a)3 marks

Enter the centre coordinates \(h,k\)

Enter the positive radius

\(r\) \(k\) \(h\)

(b)1 mark

Which equation represents the circle in centre–radius form?

\left(x+4\right)^2+\left(y+12\right)^2=9

\left(x-2\right)^2+\left(y-6\right)^2=9

\left(x+2\right)^2+\left(y+6\right)^2=9

\left(x+2\right)^2+\left(y+6\right)^2=3

Which paired statement gives the domain and range of the circle?

\operatorname{Dom}=\left[-1,5\right],\quad\operatorname{Ran}=\left[3,9\right]

\operatorname{Dom}=\left[-5,1\right],\quad\operatorname{Ran}=\left[-9,-3\right]

\operatorname{Dom}=\left[-11,7\right],\quad\operatorname{Ran}=\left[-15,3\right]

\operatorname{Dom}=\left[-9,-3\right],\quad\operatorname{Ran}=\left[-5,1\right]