Provide an appropriate response.
-In the ellipse $\frac { ( y + 3 ) ^ { 2 } } { 36 } + \frac { ( x - 6 ) ^ { 2 } } { 16 } = 1$, what is the equation of the horizontal axis of symmetry? The vertical axis of symmetry?
A) Horizontal: $y = 3$; Vertical: $x = 6$
B) Horizontal: $y = 6$; Vertical: $x = - 3$
C) Horizontal: $y = 3$; Vertical: $x = - 6$
D) Horizontal: $y = - 3$; Vertical: $x = 6$

Question

Quizplus · Accepted Answer

The horizontal axis of symmetry is at $y = -3$ and the vertical axis of symmetry is at $x = 6$, as these values correspond to the shifts in the ellipse equation.

Provide an Appropriate Response (y+3)236+(x−6)216=1\frac { ( y + 3 ) ^ { 2 } } { 36 } + \frac { ( x - 6 ) ^ { 2 } } { 16 } = 136(y+3)2​+16(x−6)2​=1

Provide an Appropriate Response $\frac { ( y + 3 ) ^ { 2 } } { 36 } + \frac { ( x - 6 ) ^ { 2 } } { 16 } = 1$