4) Find the equation of the parabola with the following properties: • the vertex is (4, 4), • it has a vertical directrix, and passes through the point (0, 1).

Q: Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y…

A:

Q: = 18 , find the co-ordinates of the vertices, foci, equations of the For the hyperbola 9Y² – 2X?…

A:

Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: equation of the parabola  x-h2=4ay-k

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (1,…

A:

Q: Given the focus and directrix of a parabola, identify its important characteristics. 10 8 -10 -8 -6…

A:

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: equation of parabola:-

Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A:

Q: 3. Write an equation for the parabola with vertex at (2, 3), opening upward, and with no vertical…

A:

Q: 15 2. Find the equation of a parabola through(-, 2) and (0,–1) whose axis is parallel 4 to the…

A:

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given:Vertex=0,0Directrix y=-3Equation of parabola:x-h2=4py-k

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

A:

Q: 1. Find the general equation of the parabola with vertex at (-2,3) and focus at (-2,–2). 2. Graph…

A: 1. The given vertex at -2,3 and focus at -2,-2. Find the general equation of the parabola. 2. The…

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Given:To Find the standard equation of a parabola that has a vertical axis and lineformula of…

Q: 2. what is the general equation of a parabola that opens upward with v(-1,2)?

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

Q: find the equation of the parabola with the given properties. Vertex (3, 4), directrix y = −2

A: The point of intersection of the parabola and its axis is called Vertex. The general form of the…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

A:

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-8,…

A:

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

A:

Q: Two LORAN radio stations A and B are 200 kilometers apart and send a simultaneous radio signal to a…

A: Concept: A collection of points defines a hyperbola when the difference of distances between two…

Q: The point (1,2) lies on the parabola: y 3x2 -2x+2 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;) False statement (1,2) does…

Q: A parabola has an equation of y² = 4x. Find the nearest distance from the point (-3, 6) to the %3D…

A:

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Here we find the equation of parabola.

Q: 5. Find the equation of the parabola that has a horizontal axis of symmetry, passing through the…

A: the general equation of a parabola is x=ay2+by+c                            (1) horizontal axis…

Q: 4. Write the equation of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3)…

A:

Q: 10. Find an equation for the parabola with vertex (0, 0) and focus (4, 0).

A:

Q: A pair of buildings on a college campus are shaped and positioned like a portion of branches of the…

A:

Q: The vertex of a parabola is (-5, 2), and its focus is (-1, 2). What is the standard form of the…

A:

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given query is to find the equation of the paraola.

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A:

Q: 10. a) Find an equation for the parabola with vertex (1, 4) that passes through the point (3, 8).

A:

Q: What is a parabola? What are the Cartesian equations for parabo-las whose vertices lie at the origin…

A: Explanation:

Q: 21 Find the equation for the parabola that has its focus at the 2 and has 4 11 directrix at æ = 4…

A:

Q: Find an equation of the parabola with vertex (5, – 1) and directrix y = -4.

A:

Q: 5. Find the equation of the parabola in standard form with a directrix located 5 units below the…

A: The standard equation of the parabola is (x-h)2=4a(y=k) Where (h,k) is the vertex Here h=3, k=-2…

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: b. Find another equation of the parabola with vertex of coordinates 131 and containing the point of…

A:

Q: Find an equation of the parabola with vertex (4,2) and directrix x=-1

A: Find the equation of parabola:

Q: If we have a parabola with an axis of symmetry of x = 9 and it contains the point (-3, -12), what…

A: Given taht parabola is symmetric about the line x= 9

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at a The…

A: Given that, Vertex of the parabola are, (h, k) = (0, 0) And diretrix of parabola is x = - 12 We have…

Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…

A:

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−8,3),…

A: To find the standard equation of parabola

Q: 7) Find the standard form of the equation for the parabola with vertex (1,2) and directrix y -1.

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.