Additional Concepts
-$$y ^ { 2 } + 6 y - x + 5 = 0$$
A) Opens to the right; $( - 4 , - 3 )$
B) Opens to the left; $( 4,3 )$
C) Opens downward; $( - 3,4 )$
D) Opens downward; $( 3,4 )$

Question

Quizplus · Accepted Answer

The given equation is of a parabola in the form $y^2 = 4ax$, which opens to the right. Completing the square for $y$ gives $y^2 + 6y + 9 = x - 4$, or $(y + 3)^2 = x + 4$, indicating the vertex is at $(-4, -3)$, so it opens to the right.

Additional Concepts - y2+6y−x+5=0y ^ { 2 } + 6 y - x + 5 = 0y2+6y−x+5=0

Additional Concepts
- $y ^ { 2 } + 6 y - x + 5 = 0$