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find the standard form of the equation for the circle with the following properties center 1 4 and radius 4

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Find the standard form of the equation for the circle with the following properties. Center (−1,−4) and radius 4

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Answer to a math question Find the standard form of the equation for the circle with the following properties. Center (−1,−4) and radius 4

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$\begin{array} { l }h=-1,& k=-4,& r=4\end{array}$

${\left( x-h \right)}^{2}+{\left( y-k \right)}^{2}={r}^{2}$

${\left( x-\left( -1 \right) \right)}^{2}+{\left( y-\left( -4 \right) \right)}^{2}={4}^{2}$

${\left( x+1 \right)}^{2}+{\left( y-\left( -4 \right) \right)}^{2}={4}^{2}$

${\left( x+1 \right)}^{2}+{\left( y+4 \right)}^{2}={4}^{2}$

${\left( x+1 \right)}^{2}+{\left( y+4 \right)}^{2}=16$

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