(x – 3)² = }(y + 1)

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

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

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: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A:

Q: 2. HYPERBOLA VERTICES: (5,- ASYMPTOTES: y=+3(x)-2 てら

A:

Q: Find the equation of parabola which has axis parallel to y-axis and which passes through the points…

A: (4)  Let h, k be the vertex of the parabola and 4a be the length of latus rectum  As the axis of…

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: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 19…

A: Since, the directrix is parallel to x-axis. The equation of the parabola is given by : x2 = 4ay…

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

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. Directrix: y…

A: Standard form of equation of parabolla is given by :x-h2=4ay-kThe distance between 0,2&8,2 is…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A: First find the major axis minor axis length and central of ellipse than write in standard form of…

Q: Parabolas with axis parallel to the x-axis with focal distance "a" fixed.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: An ellipse has vertices (-10,-4) and (6,-4), and co-vertices (-2,-9) and (-2,1). Find its standard…

A:

Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

A:

Q: A parabola can be drawn given a focus of (-4, –11) and a directrix of y = -3. What can be said about…

A:

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

A:

Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4. %3D

A: Given problem is :

Q: A parabolic arch has a span of 120 feet and a maximum height of 25 feet. Choose suitable rectangular…

A: Given, a parabolic arch which has a span of 120 feet and a maximum height of 25 feet. Both positive…

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

A:

Q: Determine the standard form of equation of a hyperbola with center at (-2,1), distance from the…

A:

Q: Find an equation of the conic described;graph the equation.

A: The graph of Ax2+Cy2+Dx+Ey+F=0 is one of the following.a. Circle: A=Cb. Parabola: AC=0, A=0 or C=0…

Q: hyperbola

A:

Q: Find an equation in standard form for the hyperbola that satisfies the given conditions. Transverse…

A: In a hyperbola the straight line joining two vertices is the Transverse axis Distance between 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: Find the standard equation of the hyperbola 1. Asymptotes y=4/3x + 1/3 and y=-4/3x +41/3, a vertex…

A: Solution of the problem as follows

Q: Find the equation of the parabola y = ax2 + bx + c that passes through the points. To verify your…

A:

Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 10, foci…

A: Given that the length of major axis is 10, that is 2a=10              ⇒             a=5 Also given…

Q: Find the standard form of the équation of the ellipse satisfying the given conditions. Endpoints of…

A:

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

A: This is a differential equation problem

Q: 1. Parabolas with axis parallel to the x-axis with focal distance “a" fixed.

A:

Q: Find the equation of hyperbola by the given vertices at (0,1) and (0, −1); asymptotes are the lines…

A: Given

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: Introduction outline for hyperbola.

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

Q: 5.) Vertex: (-2,4); Focus (-2,6) hk

A: As per the guidelines; we are supposed to solve only one problems from the given multiple questions.…

Q: A parabola can be drawn given a focus of (5,-10) and a directrix of y = 6. What can be said about…

A: Follow the procedure given below.

Q: Hyperbola with vertices (±8, 0), asymptotes y = ±34x

A: At the outset, let me tell you that asymptotes can't be y = ±34x, as stated in the question. It…

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

A:

Q: A parabola can be drawn given a focus of (7, –2) and a directrix of x = 11. What can be said about…

A: The general form of a horizontal parabola is given by: x=a(y-k)2+h   The vertex of this parabola is…

Q: A parabola has a focus located at (5, -) and a directrix of y = What are the coordinates for the…

A:

Q: Find the standard equation of the hyperbola 1. foci (-4,-3) and (-4, 13), the absolute value of the…

A:

Q: Find the standard form of the equation of a hyperbola whose endpoints of the transverse axis are…

A:

Q: Find the standard equation of the parabola whose vertex is ​(6​,6​)and whose directrix is y=−3.…

A: Here I have appended the formula used in the solution part.

Q: How to write the equation a parabola with a focus of (-7,0) and directrix line x=7

A: Given, focus is -7,0

Q: Find an equation of the parabola that has focus F(-2,2) directrix  y= -2

A: If Given the focus (h,k) and the directrix y=mx+b, then  the equation for a  parabola   is (y - mx -…

Q: Determine the standard form of equation of a parabola give its parts and properties. 1. Vertex at…

A: Given that: 1. Vertex is at origin and DL at x=52. F(3,3) and V(3, 6)3. F(-2, 6) and DL at y=-2

Q: A hyperbola with asymptotes y = ±2? and y-intercepts (0, ±13). Determine the eccentricity.

A: Consider the given asymptotes y=±2x and y intercept 0, ±13

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

A: vertex (4,16) points on the parabola (0,0) and (8,0) vertex form= a(x-h)2+k Standard form= ax2+bx+c

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.