Additional Concepts
Determine the direction in which the parabola opens, and the vertex.
-$$x = - ( y - 8 ) ^ { 2 } + 1$$
A) Opens to left; $( 1,8 )$
B) Opens to left; $( 1 , - 8 )$
C) Opens to left; $( 8,1 )$
D) Opens to right; $( 8,1 )$

Question

Quizplus · Accepted Answer

To determine the direction in which the parabola opens, look at the coefficient of the squared term. In this case, it is negative, which means the parabola opens to the left. 
To find the vertex, we need to rewrite the equation in vertex form: 
$$x + (y-8)^2 = 1$$
$$(y-8)^2 = -x+1$$
$$y-8 = \pm \sqrt{-x+1}$$
$$y = \pm \sqrt{-x+1}+8$$
The vertex is at the point where the square root term is equal to 0, which is when $-x+1 = 0$ or $x=1$. So the vertex is at $(1,8)$.

Additional Concepts Determine the Direction in Which the Parabola Opens x=−(y−8)2+1x = - ( y - 8 ) ^ { 2 } + 1x=−(y−8)2+1

Additional Concepts
Determine the Direction in Which the Parabola Opens $x = - ( y - 8 ) ^ { 2 } + 1$