Determine the DE for: Parabolas with axis to the x- axis and with distance from focus to  vertex fixed as “a"

Q: Give the standard equation of the parabola with focus (-3,0) and directrix x=3

A: Standard equation of parabola is y2=±4ax Given that focus of parabola is (-3,0) and directrix is…

Q: Find the equation of the parabola and the length of the latus rectum with directrix y = -2 and focus…

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

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

Q: Find the equation of the parabola with vertex at the origin and satisfies the condition: Focus…

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Q: Find the standard form of the equation of th parabola with: and Focus (-2, 6) Directrix X = 8

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Q: Use the Distance Formula to write an equation of the parabola with focus F (0, – 11) and directrix y…

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

A: The standard equation of open downward parabola having vertex at (h, k) and focus at length “p” from…

Q: Explain how to use directrix. ey = &x to find the parabola's focus and

A: Given equation of parabola is y2=8x. To find focus and directrix of parabola. Solution: Equation of…

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

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Q: Determine the equation of the parabola with the directrix z = 3 and focus (0, 7). O y = 8 (z – 5) O…

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

A: Given vertex is (0 , 0) and focus on negative y axis focal diameter is 2

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

A: First we have to calculate distance from directix to vertex. I.e P Then insert values of center and…

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

A: Given: Opens downward with focus 10 units away from the vertex.

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…

A: Consider the following values: Focus=9,0Diretrix⇒x+9=0 Standard form of the equation of the…

Q: Given the general form of a parabola x2+6x-8y+10=0, what is the y coordinate the focus? (round to 3…

A: Explained below

Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

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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: For Exercise, determine the standard form of an equation of the parabola subject to the given…

A: Given directrix: x=0 and focus (-4,5)The vertex will be the mid point of them Mid point of x=0 and…

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

A: It is given that the Vertex is V(0, 0) The focus is on the positive x axis, 2 units away from the…

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

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Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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

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Q: Find the endpoints of the latus rectum of the parabola below. 1 Enter the endpoints as ordered pairs…

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Q: Determine the equation of the parabola using the given information. Focus (0, −3) and directix y =…

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Q: Determine the equation of the parabola given the focus at (-10,23/2) and directrix at y=-11/2.

A: Given- Focus -10,232 and directrix y=-112 To Find- The equation of the parabola.

Q: Determine the standard form of an equation of the parabola with focus (1, 2) and directrix x = 7.

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Q: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at x=−1/28..

A: The standard form of equation of parabola with horizontal axis is given by the formula, y2=4px…

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: Graph the parabola and find the indicated information. 8(y + 5) = (x – 2)2 4. Vertex: Focus:…

A: To graph and find the information about given parabola.

Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

Q: Find the vertex, focus and endpoints of the latus rectum of the parabola  4y^2 - x + 2 y = 0

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

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Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: Determine the equation of the parabola opens to the right with focus at (4,3) and one endpoiny of…

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Q: Determine the coordinates of points A and B on a parabola y AB is as close as possible to the…

A: Please refer the attached image for complete solution.

Q: . All parabolas with x-axis as the axis and (a, 0) as focus.

A: In this question, concept of differential equation is applied. Differential Equation A differential…

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

A: The general equation of the horizontal transverse axis hyperbola is given by,

Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

Q: For Exercise, determine the standard form of the parabola subject to the given conditions. Focus:…

A: Given:Focus: (0, −3);  Directrix: y = −6

Q: Classify the following parabola as horizontal and vertical, indicate where they open.

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

A: Given: A rough sketch of the parabola shall be as follows:

Q: which satisfies th

A: Parabola: The focus of the parabola is (-2,-5) The directrix x=6 The general form of parabola is…

Q: Evaluate a ds, where C is the parabola i = (3t, 3t2), for – 1 <t < 1. Answer exactly or round to 2…

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Q: Find the equation for the parabola that has its vertex at the origin and has directrix atI = 27…

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Q: For Exercise, determine the standard form of the parabola subject to the given conditions. Vertex:…

A: To determine the standard form of the parabola.

Q: Determine the equation and sketch the graph the parabola given focus at (12, 3) and directrix at x =…

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