Question

Write the equation of this circle in standard form. please give answer?

Answer 1

Given the center $(x_0,y_0)$ and the radius $r$ of a circle, its equation is

$(x-x_0)^2+(y-y_0)^2=r^2$

In your case, the center is (-4,0), and the radius is 2. Plug these values into the generic formula and you'll get the equation.