If the directrix is horizontal, then the parabola opens (horizontally/vertically).

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 length of a,b,c of the hyperbola: y^2-x^2=1

A: The given equation of hyperbola is: y2-x2=1

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

A:

Q: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

A:

Q: What is the standard equation of a hyperbola?

A: Our Aim is to tell the standard equation of a hyperbola.

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: How is a hyperbola different from a parabola?

A:

Q: What is a hyperbola?

A: Consider the given "hyperbola"

Q: The vertical line passing through the vertex of a parabola is called the ......... .

A: Given The vertical line passing through the vertex of a parabola is called the ......... .

Q: Find the focus and directrix of the parabola y2 = 10x.

A: given: the equation of the parabola: y2=10x

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A: General Equation of Parabola : y-k2=4p(x-h) --(1) Where (h,k) is the vertex of the parabola Focus is…

Q: If the asymptotes of the hyperbola a2 b. 1, 62 %3D intersect at right angle, then a = TRUE FALSE

A: Given: The statement "If the asymptotes of the hyperbola x2a2-y2b2=1, intersect at right angle, then…

Q: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

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

A:

Q: What is the directrix of a hyperbola?

A: We need to explain what is meant by directrix in hyperbola and find its equation.

Q: Determine whether the statement "It is possible for a parabola to intersect its directrix", is true…

A: The given statements is "It is possible for a parabola to intersect its directrix".

Q: Give the geometric definition of a hyperbola.

A: Given: Give the geometric definition of a hyperbola.

Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

Q: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…

A: We have to find the equation of parabola.

Q: Find the vertex, focus, and directrix for the parabola.

A:

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

A:

Q: Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y =…

A: Given  Focus (0 , -1/2)  Directrix ,y = 1/2   Equation of parabola with focus at (x0 , y0) and…

Q: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

A: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

Q: Find the standard form of the equation of a parabola with focus (8,0) and directrix x = -8.

A: Focus is, a, 0=8, 0⇒a=8 Directrix is x=-8.

Q: Find the standard equation of the hyperbola that satisfies the conditions.

A:

Q: Define the term parabola?

A: Given: The term parabola.

Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

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

A:

Q: Correctly match up the vertex and axis of symmetry for this parabola.

A: We have to find the vertex and axis of symmetry according to the given information

Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are -

A:

Q: Suppose that a point A(6,4) lies on a parabola whose focus is at (-1, 3). What is the length of its…

A:

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

A:

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below?

A: follow next step

Q: Give a world problem about parabola. Explain.

A: Give a world problem about parabola .

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

A:

Q: Give the equation of a hyperbola with center at the origin

A: The transverse axis is on the x-axis.

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

A:

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

A:

Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

Q: A cable durpended between two Do po has a Jag of 1. 20 meters apart a form of a parabola, find its…

A: The distance between the pole = 20 m and the sag of 112 m=32 m. We have to find the equation of the…

Q: Find the equation of a parabola that has focus at (-4,0) and directrix 2

A:

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: What is the eccentricity of a hyperbola if the asymptotes are perpendicular?

A: Given:Asymptotes of the hyperbola are perpendicular.

Q: Find the vertex, focus, and directrix of the parabola (x − 6)2 − 2( y + 7) = 0, and sketch its…

A: Given: The equation of the parabola is, x-62-2y+7=0 The above equation can be converted into vertex…

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…

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.