Question 1016832
That circle description puts center 5 units away from the y-axis tangent point, so radius is 5.
{{{(x+5)^2+(y+2)^2=25}}}.


Substitute the coordinates for each point and check if the equation is true.
{{{(-2+5)^2+(2+2)^2=25}}}
{{{9+16=25}}}
{{{25=25}}}
TRUE for the point  (-2,2).


You can check the other point.