n V(-2,–2); p=

Q: 3. What is the length of the minor axis of the ellipse given by the equation s + = 1? %3D 169 64…

A:

Q: What is the equation for the parabola below in terms of its focus and directrix? y = _____

A: Given: equation of the parabola

Q: In which direction do the following parabolas open?a. y2 = -4x        b. x2 = 4y

A: Part(a) Given parabola  The graph of the given parabola is

Q: Find the standard equation of the parabola which satisfies the given condition. Focus (7, 11),…

A:

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: Find the equation of an ellipse whose minor axis is 6 and whose foci are located at (+8, 0). y? 9.…

A:

Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4…

A: to find the vertex.

Q: Jim, standing at one focus of a whispering gallery,is 6 feet from the nearest wall.His friend is…

A: Given: Jim is standing at the focus of a whimpering gallery is 6 feet. His friend is standing at the…

Q: (y + 6)? (x + 5)? 1 64 Distance from the center to each focus is:

A:

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (0,…

A:

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: The casting has diameter 8  inches. Hence 2x=8, we have, x=4 inches Also depth = 1 inch, hence, y=1

Q: c) Find the center and radius of the sphere whose equation is

A: Given, we need to evaluate the norm of the following vectors. i=<-1,2,4>ii=-i+7j

Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

A:

Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 8…

A: Since, it is given that the reflector of the flashlight has the shape of parabola.Suppose the…

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

A:

Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+10, 0), length of…

A: The foci of the hyperbola are ±10,0 and the length of the transverse axis is 16. The objective of…

Q: Use the Distance Formula to show that the equation of the parabola with focus F(0, 1) and directrix…

A: Given that Focus of the parabola is F0, 1 and Directrix is y=-1 We have to prove that y=14x2 is the…

Q: Find the coordinates of the four points at which the hyperboloid of one sheet given by x2 y? + 16 z?…

A: This question is related to 3D coordinate geometry, We will solve it using given information.

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 15.6x = y?

A:

Q: Given the ellipse x2/36 + y2/32=1. Determine the distance between foci.

A:

Q: Find the standard form of the equation of the parabola. Focus at (0, 4), directrix y = -4

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (0,…

A: The equation of parabola:

Q: Graph the ellipse with the given equation (x-1)² (y+2)² 9. = 1 4 and identify the 1. direction…

A:

Q: Find the equation of the parabola with focus (1, −4) and directrix y = 0.

A: Given the following to find the equation of parabola.

Q: Graph the ellipse and locate the foci.

A: To graph the given ellipse equation x+129+y-2216=1

Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

A:

Q: Write the equation of the parabola with focus at (3,5) and directrix y = 3.

A: First I have written a formula of parabola with given focus and directrix, just use the formula for…

Q: Given the ellipse 25 y? =D1 16 List the coordinates of the foci.

A:

Q: Derive an equation for the parabola with focus (a , b) and directrix x = c

A: Given focus f =(a,b) and directrix x=c Let A(x1,y1) be any point so that  |Af|= |AD| Where Af=…

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 standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (7,…

A: Parabola: The focus of the parabola is (7,1) Directrix of the parabola is y=-9. The equation of…

Q: Write the reduced hyperbole equation, given: a) The foci ( ± 5.0), and the length L=9/2 of the rope…

A:

Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: Graph the ellipse and locate the foci.

A: x-1216+y+229=1⇒x-1242+y--2232=1 Comparing with x-h2a2+y-k2b2=1, we get a=4, b=3, h=1 & k=-2 Now…

Q: Write the equation for a parabola with a Focus (4,1) and Directrix y=8 ?

A: we know that the distance between any point on parabola and the focus is same as the distance…

Q: Find the points on the ellipse that are twice the distance from one focus to the other. y? 25 9.

A:

Q: x2 y? + = 1 36 49

A:

Q: Graph the ellipse and indentify the following (x+22 . v+5)2 1) Domain: 16 4 Range: Foci: +++ 10 X…

A: Follow step 2

Q: Find the focus, directrix, and focal diameter of the parabola y = x², and sketch its graph.

A:

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (12,…

A: Alternatively, you can use the definition of a parabola to derive the equation. A parabola is the…

Q: 1 2 X= (y+7)¯-1 2

A:

Q: Find the focus diretrix, and focal diameter of the parabola: x^2=-8y

A:

Q: Use the information provided to write the vertex form equation of each parabola. 2) Vertex at…

A: here we have vertex:0,0,    focus:0,18 here x-coordinate is the same for both points so the parabola…

Q: Find the vertex focus focal width and equation of the axis for each parabola. y^2+8y+4-6x+0

A: Given: y2+8y+4-6x=0 for finding given values, first we convert given equation in standard form of…

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

A: