Find the standard form of the equation for the circle with the following properties.

hint: draw it and then it is easy to see the radius

then use the formula

Find the standard form of the equation for the circle with the following properties. Center (−4,−3/2) and tangent to the x-axis

Hello macabtesubwoofer!

$P_c(-4,-1.5)$

$f(x) =\pm \sqrt{{\color{blue}1,5}^2-(x-{\color{blue}4})^2}-\color{blue}1,5\\ (y+1.5)^2=1.5^2-(x-4)^2$

The standard form of the equation for the circle is

$(x-4)^2+(y+1.5)^2=1.5^2$

  !