Find the standard equation of the circle: C(-5,6) tangeant to y axis?
Circle general equation is
If circle must be tangent to y axis, the distance from center to y axis to the given point is
The equation is
I assume the notation
Since the circle is given as tangent to the y-axis
the distance from the center to the y-axis (i.e. the radius) is
(since all points on the y-axis have
The required result may depend upon your understanding of what is meant by "the standard equation" for a circle.
I will use
as the "standard form" for a circle with center
So, in this case we have
...or, maybe your version of the standard form might be an expansion of this: