Match the equation of the parabola with the appropriate description.
-$$x + 5 = 2 ( y + 6 ) ^ { 2 }$$
A) Vertex at $( 6,5 )$
B) Vertex at $( - 6 , - 5 )$
C) Vertex at $( - 5 , - 6 )$
D) Vertex at $( 5,6 )$

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 $x = 2(y + 6)^2 - 5$, we see that the vertex is at $(-5, -6)$.

Match the Equation of the Parabola with the Appropriate Description x+5=2(y+6)2x + 5 = 2 ( y + 6 ) ^ { 2 }x+5=2(y+6)2

Match the Equation of the Parabola with the Appropriate Description $x + 5 = 2 ( y + 6 ) ^ { 2 }$