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+5\right)^2+\left(y+1\right)^2=16

State the centre and radius before selecting the matching equation, domain and range

(a)3 marks

Enter the centre coordinates \(h,k\)

Enter the positive radius

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

(b)1 mark

Which equation represents the circle in centre–radius form?

\left(x+10\right)^2+\left(y+2\right)^2=16

\left(x+5\right)^2+\left(y+1\right)^2=16

\left(x+5\right)^2+\left(y+1\right)^2=4

\left(x-5\right)^2+\left(y-1\right)^2=16

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

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

\operatorname{Dom}=\left[-21,11\right],\quad\operatorname{Ran}=\left[-17,15\right]

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

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