# trigonometry

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

1. 👍 0
2. 👎 0
3. 👁 213
1. 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

1. 👍 0
2. 👎 0

## Similar Questions

1. ### algebra 2

A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why a.

2. ### algebra 2

a quadratic equation can be written in vertex form or in standard form. sometimes one form is more beneficial than the other. identify which form would be more helpful if you needed to do each task listed below and explain why. a.

3. ### pre cal

What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola? (5 points) A) 3x^2 + y^2 + 12x - 7 = 0 B) 3x^2 + 3y^2 + 12x - 7 = 0 C) 3x^2 + y + 12x - 7 =

4. ### further math

identify the conic sections below (circle,hyperbola,parabola,ellipse). a)3x2+3y2-2y=4 b)3x2-9y2+2x-4y=7 c)2x2+5y2-7x+3y-4=0 d)3y2-4x+17y=-10

1. ### Algebra

Consider the graph of the equation y=ax^2+bx+c, when a does not equal 0. If a is multiplied by 3, what is true of the graph of the resulting parabola? (A) The Vertex is 3 units above the vertex of the original. (B) The new

2. ### Algebra2

A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why. a-

3. ### Math

Choose the three true statements about the graph of the quadratic function y = x2 − 3x − 4. Options A) The graph is a parabola with a minimum point. B) The graph is a parabola with a maximum point. C) The point (2, 2) lies on

4. ### Math 170

16x^2+16y^2+64x-32y+55=0 Identify the conic and find the center, radius(for circle), and a and b(for ellipse or hyperbola) sketch the graph

1. ### math

the graph shows a circle with a radius 1 inscribed in the parabola y=x^2. Find the center of the circle.

2. ### Math

Write the equation of a parabola, in standard form, that goes through these points: (0, 3) (1, 4) (-1, -6) ax^2 + bx + c = y a * 0^2+b*0+c = 3 a*1^2+b+1+c = 4 a*(-1)^2+b(-1)+c = -6 c = 3 a + b + c = 4 a – b + c = -6 a + b + 3 =

3. ### College Algebra

Find the equation of the parabola y = ax2 + bx + c that passes through the points. To verify your result, use a graphing utility to plot the points and graph the parabola. (−2, −15), (−1, −4), (1/2,-10) y=?

4. ### Conics

What type of conic is represented by the polar equation? r= 1 / 4-6cos theta Ellipse Hyperbola Parabola Circle Help! Homework help needed