How do you find two points that define the latus rectum? Vertex: (0,0) Focus: (8,0) Equation of parabola: y^2=32x

Q: Determine the equation of a hyperbola having foci (0, +4) and asymptotes y =

A: Given:  Foci :( 0 , ±4 )   Asymptotes: y = ±3x

Q: A searchlight is shape like a parabola of a revolution. If the light source is located 2 feet from…

A: Given that , vertex of parabola h,k=0,0 focus of parabola 0,a=0,2 Depth of light y=4 feet Width of…

Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 26, foci…

A: Given:Length of major axis is 26 and foci on x-axis.

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Given, The  dish is 64 feet across its opening, and 4 feet deep at its center

Q: Find an equation for parabola with vertex  (−1,3) and directrix x=−4.

A:

Q: Major axis vertical with length 20;length of minor axis = 10;center: (2, -3).Find the standard form…

A: Given that Length of major axis a=20. Length of minor axis b=10. Center:C2, -3   It is known that…

Q: What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

A: The parabola has vertex -5,-9 and directrix y=-13

Q: What is an example of picture of parabola in real life and its equation of parabola, in standard and…

A: shows how quadratic function can model the natural shape of a banana. I then resize, rotate, and…

Q: A soccer ball is kicked from a point 23 m to the left of the half way line and lands at a point 17 m…

A: We use the equation in the form y=a(x-r)(x-s) Given Data: r=-23 and s=17

Q: How is a hyperbola different from a parabola?

A:

Q: Find an equation of the hyperbola that has foci at (-15, 0) and (15, 0), and asymptotes y= x and y=

A:

Q: What is the equation of the hyperbola with Foci at (5, 0) and (-5, 0) and conjugate axis of length…

A: Use basic concept of hyperbola

Q: Major axis vertical with length 10;length of minor axis = 4;center: (-2, 3).Find the standard form…

A: Given that length of vertical major axis is 10, length of minor axis is 4 and center is -2,3. To…

Q: How to write the equation of a hyperbola  Foci at (-10,0)(10,0); asymptote the line y=-x

A:

Q: How do you write an equation of a sphere with a given center and radius?

A:

Q: How to write the equation of the parabola with a vertex of (0,0) and axis of symmetry the y- axis;…

A: We have to write the equation of parabola with vertex (0,0) and a point in the parabola that is…

Q: A searchlight is shaped like a parabola. If the light source is located 3 feet from the base along…

A:

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: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Dish width=48 feet 4 feet deep in the center It's vertex is center (0, 0)

Q: (result of elimination of constant) * Parabola with vertex and focus on the y-axis

A:

Q: An arch 18 m high has a form of parabola with a vertical axis. The length of the horizontal beam…

A: NOTE: Refresh your page if you can't see any equations. . from the given data, draw a figure

Q: Explain how to use y2 = 8x to find the parabola’s focus and directrix.

A: Given: y2=8x   To find: The parabola’s focus and directrix

Q: What is the equation of parabola in standard form whose focus is at (-4,0) and the directrix is at…

A: Note that, the equation of the parabola with the directrix x+a=0 and the focus (a,0) is y2=4ax.

Q: How can I tell from a hyperbola’s equation whether the transverse axis is horizontal or vertical?

A: Definition used-           Transverse axis of hyperbola -             The transverse axis is the…

Q: focus shaded region has area 8

A: we know that equation of parabola is given by x2=-4ay where, focus is 0,-a, vertex is 0,0 and…

Q: What is a parabola? Describe its shape.

A: We have to define parabola and describe it shape.

Q: Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)?

A: We need to find equation o hyperbola.

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

A: The equation of directrix of the parabola is x+1=0. The length of the latus rectum is 3. The…

Q: Find the standard equation of the hyperbola that satisfies the conditions Center (0 ,5), one corner…

A: The equation of hyperbola with center ( h , k ) and the conjugate axis, vertical is as follows.…

Q: (Ellipse) Center at the origin, its foci is on the x-axis, the length of the major axis equal to 3…

A: From the standard form of the equation of the horizontal ellipse (x-h)2a2+(y-h)2b2=1,  Here, a >…

Q: 21. What's the standard form equation of a parabola with directrix x = -10 and focus (10,0)?

A:

Q: 8.) Parabolas having their vertices at the origin and their foci on the y-axis

A: This is a differential equation problem

Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

A:

Q: Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1…

A:

Q: Major axis horizontal with length 12; length of minor axis = 4; center: (-3, 5).Find the standard…

A: Given:         Length of major axis = 12Length of minor axis = 4center of an ellipse = (-3, 5)   To…

Q: An ellipse has foci at the points (-10, 1) and (6, 1) and one vertex at (10, 1). Find the point on…

A:

Q: Length of major axis: 10, length of minor axis: 8, foci on x-axis, ellipse center (0, 0)

A: Given  Center: 0,0, 2a=10 , 2b=8 , h,k=0,0

Q: Why is distance between vertices for hyperbola equal to 2a?

A:

Q: Introduction outline for hyperbola.

A: We have to find the introduction outline for hyperbola.

Q: A 24 meter long tension wire is tied firmly between two vertical poles with identical height of 5…

A: To Find:a) Write an equation of the parabola.b)How far is the center of the beam to the wire's 1 cm…

Q: A football is kicked from the ground 70 yards along a parabolic path. The maximum height of the ball…

A: Find the height of ball 5 yards before it hits the ground.Consider, x-axis be the yards and y- axis…

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

A: Explanation:

Q: 2) WHAT ARE THE STANDARD EQUATIONS OFA HYPERBOLA WITH A HORIZONTAL TRANSVERSE AXIS AND OF A…

A: Solution is given as below:

Q: 17. Ellipse: center (-2, 1), vertex (-2,5), passes through (0, 1)

A: Equations of curve is

Q: equation of the sphere with the given characteristics. Center: (-1, -7, 2) Radius: 3

A:

Q: A bridge is built in the shape of semielliptical arch. It has a span of 112 feet. The height of the…

A: Let the equation of the ellipse is x2a2+y2b2=1 Here, span of arc is 112 feet ⇒2a=112 ⇒a=56…

Q: 2. PARABOLA VERTEX = (2, FOCUS = (1,

A: Given vertex=2,1 and focus=1,1 We have to find the equation of the parabola. We can see that the…

Q: Describe the three-dimensional figure that is formed from rotating the isosceles right triangle…

A: We have to use properties of triangle to solve the problem when we rotate a triangle around any side…

Q: I graphed a hyperbola centered at the origin that had y-intercepts but no x-ntercepts.Determine…

A: Types of hyperbolas: 1. Vertical hyperbola: Its graph contains two vertical parabolas which are…

Q: A rectangle is to be inscribed in the ellipse described by x? + = 1. What should the dimensions of…

A: Given,  The equation of the ellipse x2 + y29 = 1  We have to find the dimension of rectangle with…

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.