Determine the direction in which the parabola opens, and the vertex.

y2 = + 6x + 14

Question

Determine the direction in which the parabola opens, and the vertex. 

y2 = + 6x + 14

anonymous · Answer

I believe it opens upward

dape · Answer

There must be an error in your formula, since it doesn't represent a parabola.

anonymous · Answer

that is what I thought you are talking about + 6x right

dape · Answer

Oh wait, didn't see the 2 after the y. Do you mean y squared = 6x + 14?

anonymous · Answer

I think so I think there is a typo with it but this is my choices
A. Opens upward; ( -3, 5)	
B. Opens upward; ( 3, 5)
D. Opens to the right; ( 5, -3)

dape · Answer

Okay, then it opens to the right. To see why you could swap x and y or just try to make a crude sketch.

anonymous · Answer

so then the vertex is 5,-3 i just thought the vertex could not be negative for some reason

anonymous · Answer

|dw:1348076765145:dw|$$x=1/6(y^2-14)$$ it is a parabola and the vertex of parabola is given by the solving $$y^2-14=0$$ it doesn't open upward or downward but right or left

dape · Answer

Actually, the graph cross the y-axis twice at plus/minus sqrt(14):
|dw:1348076887273:dw|