Posted by **ludvic** on Friday, July 11, 2014 at 11:49am.

classify the graph of the equation -4y^2+5X+3y+7=0 as a circle, a parabola, an ellipse, or a hyperbola.

- trigonometry -
**Steve**, Friday, July 11, 2014 at 4:02pm
since there's y^2 but no x^2, it's a parabola, opening to the right:

5x = 4y^2 - 3y - 7

x = 4/5 y^2 - 3/5 y - 7/5

x = 4/5 (y^2 - 3/4 y) - 7/5

x = 4/5 (y^2 - 3/4 y + (3/8)^2) - 7/5 - 4/5 * (3/8)^2

x = 4/5 (y - 3/8)^2 - 121/80

so the vertex is at (-121/80,3/8)

http://www.wolframalpha.com/input/?i=plot+-4y^2%2B5X%2B3y%2B7+%3D+0

## Answer this Question

## Related Questions

- math - Classify the conic section as a circle, an ellipse, a hyperbola, or a ...
- algebra 2 - Determine values for A, B, and C such that the equation below ...
- algebra 2 - Determine values for A, B, and C such that the equation below ...
- Algebra II - I am lost on this one!!! Determine values for A, B, and C such that...
- Math - Classify the conic section 4x^2+5y^2-16x-30y+41=0 as a circle, ellipse, ...
- Algebra 2 - The graph of 11x - x^2 - 4y^2 = 2y - 16 is the graph of a(n) ...
- Algebra 2 - The graph of 5x - 9y^2 = 12 - 4y is the graph of a(n)______. a. ...
- Algebra II - x^2 -12y = 12x -12 is a graph of a(n) a) Ellipse b) circle c) ...
- math - what are the general equations for the conic sections 1)parabola 2)circle...
- algebra help please - I notice that other problems are answered in a timely ...

More Related Questions