(y + 1)2 = -4(x-2)(x-3)2 = -(y + 1)x2 + 8x = 4y - 8ya + 2y -x = 0 Examples:A. Find the equation of the parabola described.Vertex (0, 0) Focus (4, 0)Vertex (0, 0) Focus (0, -1)Vertex (2, -3) Focus (2, -5)Focus (-3, -2) Directrix x = 1B. Find the vertex, focus, and directrix of each parabolax2 = 4yya = -16x

Answered: Image /qna-images/answer/84f641ae-d791-416c-9a0f-24d51cfee02f.jpg

Answered: A. Find the equation of the parabola…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter7: Conic Sections And Quadratic Systems

Section7.CT: Chapter Test

Problem 13CT

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Similar questions

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?
Write the equation of a parabola that opens up or down in standard form and the equation of a parabola that opens left or right in standard form. Provide a sketch of the parabola for each one, label the vertex and axis of symmetry.
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.
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.
When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane. If the airplane is flying parallel to the ground, then the sound waves intersect the ground in a hyperbola with the airplane directly above its center, and a sonic boom is heard along the hyperbola. You hear a sonic boom that is audible along a hyperbola with the equation (x2/100)(y2/4)=1, where x and y are measured in miles. What is the shortesthorizontal distance you could be from the airplane?
Discovery and Writing Describe a hyperbola.

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A. Find the equation of the parabola đescribed. Vertex (0, 0) Focus (4, 0) Vertex (0, 0) Focus (0, -1) Vertex (2, -3) Focus (2, -5) Focus (-3, -2) Directrix x- 1