Posted by **Veronica** on Monday, May 5, 2014 at 1:51pm.

1. Find the vertex of the parabola: 4y^2+4y-16x=0

2. Find an equation of the parabola, opening down, with vertex (-3,1) and solution point (4,-5).

3. The main cables of a suspension bridge are 20 meters above the road at the towers and 4 meters above the road at the center. The road is 80 meters long. Vertical cables are spaced every 10 meters. The main cables hang in the shape of a parabola. Find the equation of the parabola. Then, determine how high the main cable is 20 meters from the center.

Please help, I've tried solving the problems many times and still can't get it right.

- Pre - Cal -
**Damon**, Monday, May 5, 2014 at 1:59pm
4y^2+4y-16x=0

y^2 + y = 4 x

y^2 + y + 1/4 = 4 (x + 1/16)

(y+1/2)^2 = 4 (x+16)

vertex at (-16 , -1/2)

- Pre - Cal -
**Damon**, Monday, May 5, 2014 at 2:05pm
(x+3)^2 = a(y-1)

(4+3)^2 = a (-5-1)

49 = -6 a

a = -49/6

x^2 + 6 x + 9 = -49/6 (y-1)

x^2 + 6 x + 54/6 = - 49 y/6 + 49/6

x^2 + 6 x - 5/6 = -49 y/6

6 x^2 + 36 - 5 = -49 y

- Pre - Cal -
**Damon**, Monday, May 5, 2014 at 2:11pm
start at the middle up 4 end up 20 (16 above middle

y = kx^2

16 = k(40)^2

16 = k (4)^2(10^2)

1 = 100 k

k = .01

so , adding the 4 at the middle

y = 4 + .01 x^2

at x = 20

y = 4 + .01 (4)(100) = 8

## Answer this Question

## Related Questions

- math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...
- pre cal - What is the center of the conic whose equation is x^2 + 2y^2 - 6x + ...
- math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...
- analytic geometry - The main cables of a suspension bridge uniformly distribute...
- algebra - 6. Find the equation of each parabola described below. a) parabola ...
- Pre Cal - write the equations of the parabola, the directrix, and the axis of ...
- pre cal - write the standard form equation of the parabola with vertex (-2,-2) ...
- algebra - Suppose a parabola has a vertex (-4,7) and also passes through the ...
- algebra - I would like to have some help on this problem please. I'm so post to ...
- Algebra2.... - 1.) Y=-lx+1l+3 Are these correct? y-intercept=(0,2) x-intercept=(...