Write the standard form of the equation of the circle tangent to the y-axis and with center (-3, -6).
A) $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$
B) $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 3$
C) $( x - 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$
D) $( x + 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 3$
E) $( x + 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 9$

Question

Write the standard form of the equation of the circle tangent to the y-axis and with center (-3, -6).  
A)  $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$
B) $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 3$
C) $( x - 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$
D) $( x + 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 3$
E) $( x + 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 9$

Quizplus · Accepted Answer

The circle is tangent to the y-axis, so the radius is the absolute value of the x-coordinate of the center, which is 3. The equation of the circle is $(x + 3)^2 + (y + 6)^2 = 9$, where 9 is the square of the radius.

Write the Standard Form of the Equation of the Circle (x+3)2+(y−6)2=9( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9(x+3)2+(y−6)2=9

Write the Standard Form of the Equation of the Circle $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 9$