termine the coordinates of the focus and the equation of the directrix then choose the graph of the equation.y² = -25xthe focus is(Type an ordered pair. Type an integer or a simplified fraction.)he directrix isType an equation. Use integers or simplified fractions for any numbers in the equation.)Choose the correct graph of the parabola.OA.Ay10-O B.(₁-1010-10-10O C.+-1010O D.ts-1010--10-$1,10O OU

Answered: Image /qna-images/answer/a325d08f-657d-46b6-820c-e0151b933b6a.jpg

Answered: y² = -25x 10- + the equation of the me…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section: Chapter Questions

Problem 1CC

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Similar questions

The light bulb in a flashlight is at the focus of the parabolic reflector, 1.5 centimeters from the vertex of the reflector (see figure). Write an equation for a cross section of the flashlight’s reflector with its focus on the positive x-axis and its vertex at the origin.
Wading Pool You are building a wading pool that is in the shape of an ellipse. An equation for the elliptical shape of the pool is x2/324+y2/196=1, where x and y are measured in feet. Find the longest distance across the pool, the shortest distance, and the distance between the foci.
Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h=100t16t2. Suspension bridges The cable of a suspension bridge is in the shape of the parabola x22500y+25,000=0 in the coordinate system shown in the illustration. Distances are in feet. How far above the roadway is the cables lowest point?
The receiver of a parabolic satellite dish is at the focus of the parabola (see figure). Write an equation for a cross section of the satellite dish.
Astronomy Some comets have a hyperbolic orbit, with the sun as one focus. When the comet shown in the illustration is far away from Earth, it appears to be approaching Earth along the line y=2x . Find the equation in standard form of its orbit if the comet comes within 100 million miles of Earth.
Satellite antennas The cross section of the satellite antenna in the illustration is a parabola given by the equation y=116x2, with distance measured in feet. If the dish is 8feet wide, how deep it is?
Road Design Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road is 32 feet wide and 0.4 foot higher in the center than it is on the sides (see figure). (a) Write an equation of the parabola with its vertex at the origin that models the road surface. (b) How far from the center of the road is the road surface 0.1 foot lower than the center?
Fluid Flow Water flowing from a horizontal pipe 48 feet above the ground has the shape of a parabola whose vertex 0,48 is at the end of the pipe (see figure). The water strikes the ocean at the point 103,0. (a) Find the standard form of the equation that represents the path of the water. (b) The pipe is moved 12 feet up. Find an equation that represents the path of the water. Find the coordinates of the point where the water strikes the ocean.
An arch has the shape of a semi-ellipse. The arch has a height of 12 feet and a span of 40 feet. Find an equation for the ellipse, and use that to find the distance from the center to a point at which the height is 6 feet. Round to the nearest hundredth.
Projectiles The cannonball in the illustration follows the parabolic trajectory y=30xx2. How far short of the castle does it land?
Find the focus and directrix of the parabola y=14x2. Then sketch the parabola.

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