Match the equation of the parabola with the appropriate description.
-$$x + 3 = 2 ( y + 9 ) ^ { 2 }$$
A) Vertex at $( 9,3 )$
B) Vertex at $( - 9 , - 3 )$
C) Vertex at $( - 3 , - 9 )$
D) Vertex at $( 3,9 )$

Question

Quizplus · Accepted Answer

The equation of the parabola is in the form $x = a(y - k)^2 + h$, where $(h, k)$ is the vertex. Rewriting the given equation as $x + 3 = 2(y + 9)^2$, we can see it matches this form with $h = -3$ and $k = -9$, making the vertex $(-3, -9)$.

Match the Equation of the Parabola with the Appropriate Description x+3=2(y+9)2x + 3 = 2 ( y + 9 ) ^ { 2 }x+3=2(y+9)2

Match the Equation of the Parabola with the Appropriate Description $x + 3 = 2 ( y + 9 ) ^ { 2 }$