Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is at (2,5). What is the length of its latus rectum?

Q: Find the equation of a parabola that has a vertex of (-5, -3) and contains the point (-4, -5).…

A:

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: (x)

A:

Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

A:

Q: Create the equation of a parabola passing through the points (-2,32), (1,5) and (3,17)

A:

Q: What is the vertex equation of a parabola with a vertex at (-5,-8) that has been reflected about the…

A: It is given that the vertex of the parabola is -5,-8. It is given that the equation of parabola…

Q: Find an equation of the parabola with vertex (-1, 3) and directrix y = -3. ローロ

A: Topic:- parabola equation

Q: What are the Vertex and Axis of Symmetry of the parabola in the diagram below?

A:

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

A:

Q: Find the equation of the parabola in standard form vertex at the origin passing through the point…

A:

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

A:

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: What is the equation of the parabola which has vertex (1,2) and y-intercept y = 1?

A: See the details solution in below

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

Q: What is the equation of the parabola that has a max of (2,3), and passes through point (, -1)?

A:

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of 231, which…

A: Given   Vertex of a parabola (x,y)=(-5,6)           Y- intercept c=231

Q: Write the standard form of the equation of a parabola with directrix of x = -10 and vertex at (-6,…

A:

Q: Find the equation of the parabola with vertex (−3,1)(−3,1) and yy-intercept 22(or (0,2)(0,2)).

A: topic - equation of a parabola

Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

A:

Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: Find the standard form equation for a hyperbola with vertices at (4, 0) and (- 4, 0), that passes…

A: Solved below...

Q: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

A:

Q: Find the standard form of a parabola with the following properties: Center at the origin…

A:

Q: Find the equation of a parabola that has a vertex of (7, -4) and contains the point (0, 94),…

A:

Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

A:

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A: Given Parabola,

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: mark the vertex of the parabola

A:

Q: 2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

A:

Q: Show that,the area bounded by the parabola y^2 =4ax and a double ordinate is two third of the…

A: Let the parabola be y2=4ax Also let x =b be any double ordinate.Since the curve is symmetric about…

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

A:

Q: What is the equation of the standard parabola with its vertex at the origin that opens downward?

A: we have to find the equation of the standard parabola with its vertex at the origin that opens…

Q: Write the equation for a parabola with vertex: (-2, 4) and directrix: x= -3

A:

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

A: Find the equation of parabola:

Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Q: Determine an equation of the parabola with the vertex at (-2, 5) and passes through the point (-3,…

A:

Q: Show that the product of the distances of any point if a hyperbola from it's asymptotes is constant.

A:

Q: Give an example of a parabola that has a maximum at the point (-1, 2).

A:

Q: Give at least two examples of real-life applications of hyperbola (with solution).

A: Example 1The design layout of a cooling tower is shown in Figure 11. The tower stands 179.6 meters…

Q: Give the equation of a parabola with vertex at the origin

A: Given that vertex at the origin to the parabolaTo find equation…

Q: [4] What is the equation of a parabola with a vertex of (-3, 2) and a focus of (-3,-1)?

A: Yhave asked multiple questions and not mentioned which question answer you need so according to…

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.