How would I complete the square to find this one? Finding the Focus of a ParabolaExample 31Find the focus of the parabola y2

We need to find the focus of the given parabola

Answered: Finding the Focus of a Parabola Example…

Math

Calculus

Finding the Focus of a Parabola Example 3 1 Find the focus of the parabola y 2

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

Section7.1: The Circle And The Parabola

Problem 75E: Writing equation of the parabolas Derive the equation of the parabolic arch shown.

See similar textbooks

Related questions

Q: Given the general equation of the parabola Find the focus, vertex.

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: Conversion of the given equation into a standard equation helps to find the focus, directrix, and…

Q: Sketch the graph of the parabola y = 1/4(x - 1)2 + 5. Show the vertex, focus, and directrix.

A: The given parabola is: y=14(x-1)2+5

Q: The graph above shows a parabola. 1. The focus of the parabola is located at ( 2. The directrix of…

A: We know that parabola is a set of points in a plane which are equidistance from a given point and a…

Q: Find the vertex, focus, and directrix of the parabola. x2 = 5y vertex (x, y) = ( (x, y) = ( focus…

Q: find an equation of the conic described. Graph the equation. Parabola; focus at ( - 2, 0);…

A: Given- Parabola, focus at (-2,0) and directrix line x=2. To Find- The equation of the above…

Q: Question A planet moves in an elliptical orbit around its sun. The closest the planet gets to the…

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: If equation of parabola is x2=4ay Then, Focus 0,a Directrix y=-a End points of the latus rectum…

Q: 6. Graph the parabola and find the vertex, focus, directrix and latus rectum points. 10 12(x – 5) =…

Q: Find the vertex, focus, and directrix of the parabola. (x + 1)2 = 12(y − 2)

Q: Question Help ▼ The light from a lamp creates a shadow on a wall with a hyperbolic border. Find the…

A: The standard equations of the hyperbola with centre at origin are x2a2-y2b2=1 and y2a2-x2b2=1. The…

Q: Find the parabola's focus and directrix. Then sketch the parabola. x= 9y? The focus of x= 9y is.…

A: i am going to solve the given problem by comparing it with the standard form of parabola and get the…

Q: Instruction: Classify the Graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.…

A: Classification:-1) Circle: When x and y are both squared and the coefficients on them are the same —…

Q: Find the vertex, focus, and directrix of the parabola. Then sketch the parabola.

Q: An equation of a parabola is given. (a) Find the focus, directrix, and focal diameter of the…

A: To sketch the graph of the equation

Q: Find an equation of the conic described.Graph the equation.

A: Given, Focus at (-2, 0) and directrix the line x=2.

Q: Find an equation of a parabola satisfying the given information. Focus (9, 1), directrix x= - 10 An…

Q: 3. A hyperbolic mirror (used in some telescopes) has the property that a light ray directed at a…

Q: The receiver of a parabolic satellite dish is at the focus of the parabola (see figure). Write an…

Q: An equation of a parabola is given. x = -3y2 (a) Find the focus, directrix, and focal diameter of…

Q: openba parabola 6x² + 16y = 0 (a) Find the focus, directrix, and focal diameter of the parabola. (x,…

Q: Instruction: Classify the Graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.…

A: As per bartleby guidelines we only give first question answers.

Q: give equations of parabolas. Find each parabola’s focus and directrix. Then sketch the parabola.…

A: To find: The parabola focus and directrix, then sketch the parabola: Given: The equation of parabola…

Q: 1. (a) Give the geometric definition of a parabola. (b) Give the equation of a parabola with vertex…

A: a. Geometric definition of parabola: A parabola is the set of points in the plane that are…

Q: Find the focus, directrix, vertex and axis of symmetry for the parabola 12(х — 3) — (у — 2)*. Focus…

A: Given: 12x-3=y-22 To Find: Focus, Directrix, Vertex, and axis of Symmetry Concept: If y-k2=4px-h,…

Q: give equations of parabolas. Find each parabola’s focus and directrix. Then sketch the parabola.…

A: Given: y2=12x

Q: give equations of parabolas. Find each parabola’s focus and directrix. Then sketch the parabola.…

A: A parabola is a conic section obtained on slicing a right circular cone by a plane parallel to the…

Q: EXAMPLE give equations of parabolas. Find each parabola's focus and directrix. Then sketch the…

Q: An equation of a parabola is given. x = -2y2 (a) Find the focus, directrix, and focal diameter of…

Q: An equation of a parabola is given. y = -x2 (a) Find the focus, directrix, and focal diameter of the…

Q: Find the focus and directrix of the parabola x = -12y. focus (х, у) %3D directrix Sketch the graph…

A: We will solve this question by comparing the given equation with the standard equation of parabola.

Q: An equation of a parabola is given. x = -3y2 (a) Find the focus, directrix, and focal diameter of…

Q: 6.) Find an equation of the parabola in standard from given the following information: a.) Focus:…

A: Solve for parabola equation

Q: I- Parabola 1. Determine at sight the direction in which the curve opens. Locate the vertex, focus,…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Exercises 1–4 give equations of parabolas. Find each parabola’s focus and directrix. Then sketch the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 3D1 41334 4. A comet's path can be modeled by one branch of the hyperbola 1096 where the sun is at…

Q: 1. Find the equation of the parabola in the form_y=a(x−h)² +k with focus (1, −3) and directrix y = 2…

Q: An equation of a parabola is given. 1,2 y = (a) Find the focus, directrix, and focal diameter of the…

A: I am going to solve the given problem by comparing it standard form of parabola to get the required…

Q: Part 3 - Parabola: Find the focus and directrix of each parabola and graph the parabola

A: We compare the equation with the standard form of the parabola.

Q: (x-3)²=2(y- 5)

A: Given the equation is x-32 = 2 y-5

Q: Find the focus and directrix of the parabola . Example 2: Find the focus and the directrix of the…

A: for finding the focus and directrix in parabola if parabola y^2=4py then focus (0,p) and directrix…

Q: anslation: Consider

A: Given, the equation of an ellipse is (x-1)24+(y-1)29=1

Q: Question: Find an equation of the parabola that has a focus at (2, 11) and a vertex at (2, 8): y =…

Q: Part 3 - Parabola: Find the focus and directrix of each parabola and graph the parabola

A: Given

Q: Conic sectionsa. Determine whether the following equations describe a parabola, an ellipse, or a…

A: Graph: x=16y2a)The equation of the above graph is a parabola.

Q: Parabolas Use the definition of a parabola to showthat the equation of a parabola with vertex at (0,…

A: To find: The equation of parabola. Given: The vertex of parabola is 0,0, directrix is x=-p and focus…

Q: SEATWORK 02 (PRECAL_SW02) Determine the vertex, focus, endpoints of the latus rectum, directrix and…

A: NOTE - As per our guidelines If multiple different questions are posted We have to answer the first…

Q: An equation of a parabola is given. (x – 3)2 = 4(y + 1) (a) Find the vertex, focus, and directrix of…

Q: A parabola has the equation 6x + y = 0. (a) Find the focus and directrix of the parabola, and sketch…

Question

How would I complete the square to find this one?

Finding the Focus of a Parabola
Example 3
1
Find the focus of the parabola y
2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

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?
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.
Writing equation of the parabolas Derive the equation of the parabolic arch shown.
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.
Beam Deflection A simply supported beam (see figure) is 64 feet long and has a load at the center. The deflection of the beam at its center is 1 inch. The shape of the deflected beam is parabolic. (a) Write an equation of the parabola. (Assume that the origin is at the center of the beam.) (b) How far from the center of the beam is the deflection 12 inch?
Window Design A church window is bounded above by a parabola (see figure). Write an equation of the parabola.
Architecture A church window is bounded above by a parabola and below by the arc of a circle (see figure). (a) Find equations for the parabola and the circle. (b) Complete the table by filling in the vertical distance d between the circle and the parabola for each given value of x.
Discovery and Writing Describe a hyperbola.
Architecture A parabolic archway is 12 meters high at the vertex. At a height of 10 meters, the width of the archway is 8 meters (see figure). How wide is the archway at ground level?