Find the equation of the parabola with vertex at (3, -4) passing through the point (2,-5) and opening downward.   Then answer parts a and b.

Q: Write an equation for the hyperbola with center at (3, – 4), focus at (7, – 4), and vertex at (6, -…

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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: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±7), vertices: (0,…

A: We have to solve above hypobola question

Q: find the equation of the parabola with the given  Focus (−2, 0), vertex (2, 0)

A: We have to consider the parabola with vertex V whose coordinates with respect to XOY system is 0,0…

Q: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

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Q: Find the standard form equation of the parabola with the given characteristics and a vertex at the…

A: Topic = parabola

Q: For the parabola with focus at (1, -3) and vertex at (-3, -3), find: a) The equation of the parabola…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, 213), vertices:…

A: Vertices and foci of hyperbola at (0,±9) and (0,±13) Since, both foci and vertices lie on Y-axis,…

Q: equation of the parabola described. a. Vertex at (4, −2); focus at (6, −2)

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Q: Solve for the equation of the parabola described. Vertex at (2,4); focus at (2,-1)

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Below is the graph of a parabola with its vertex and another point on the parabola labeled. Write an…

A: Here I am attaching image so that you understand each and every step.

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: A bowl is designed so that it has a vertical cross-section in the shape of a parabola. The width of…

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Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

Q: 9. Find the equation of the parabola that had vertex at (4,-2) and focus at (6,-2)

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Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: Foci at (0,5) and (0,-5) and a vertex at (0,4)

A: Vertex is at (0,4) Focus is at (0,5) and (0,-5) . Its lies on the y axis So its a vertical hyperbola…

Q: Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 25x2 – 10x –…

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Q: Find the equation for the graph of the hyperbola with vertices at (4,0) and (-4,0) and one focu at…

A: Given: Vertex : 4, 0 and -4, 0Focus : -6, 0 We need to find the equation of the hyperbola. The…

Q: Find the vertex of a parabola having its focus at (7, -4) and its directrix y = 2. a. (-4, 2)…

A: Find the vertex of a parabola having its focus at (7,-4) and its directrix y= 2. We know that vertex…

Q: Find an equation for the parabola that has its vertex at (1, 2) and its focus at (4, 2).

A: The vertex of the parabola is the point of intersection parabola with its axis. The general form of…

Q: A parabola has a vertex at the origin and a focus of (0, - 7). What is the equation of the parabola.

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Q: Find the vertex, focus, and directrix of the parabola with the given equation (x + 2)2 = 4(y + 1).…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the equation of a parabola with vertex at ( -1, 2) and focus at ( - 1, 3)

A: We have to find the equation of a parabola with vertex at ( -1, 2) focus at ( - 1, 3)   First we…

Q: find the equation of the parabola with the given properties. Vertex (0, 0), directrix y = −5

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Q: Find the equation of the parabola if vertex at (1,-1) the axis of symmetry is parallel to y-axis and…

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

Q: Find the standard equation of the parabola shown in the figure.

A: Standard equation of parabola: y=ax-h2+k        ...(1) Where (h, k) is the vertex of a parabola.

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Find the equation of the hyperbola with a vertex at (4,3), a focus at (6,3) and the center at (2,3).

A:

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: The __________ of a parabola is the point of intersection of the parabola and the axis of symmetry.

A: Consider the below image,

Q: Find the equation of the parabola in standard form with focus at (7, -6) and vertex 5 units at the…

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

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Q: Write the equation of the parabola with the vertex (-4,2) and the directrix y=-3

A: Since directrix is vertical hence equation of parabola opens up or down can be given as  (x-h)2 =…

Q: Find the vertex, focus, and directrix of the parabola (x-3)2=12(y+1) and sketch the graph of the…

A: The graph of given parabola is graphed in the step 2.

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: given,      parabola with the given characteristics and vertex at the origin. Focus: (0, 1/3)

Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

A: Given, Vertex: (-2,3) Directrix: y=7 To find: The equation of the parabola.

Q: Find the equation of the parabola described. Vertex at (8,-5); focus at (8,-7)

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

A: follow next step

Q: Find an equation in the standard form of the parabola described. Vertex at (−4, 5); passes through…

A: We can find the standard equation of parabola as below

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis at y = 1, and the length…

A: Given, The directrix of the parabola is  x+1 = 0 Axis of the parabola is  y= 1  Length of latus…

Q: Determine the equation of a parabola with vertex at (2,-3) and focus at (2,0). Then graph the…

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Q: Find an equation for the hyperbola that satisfies the given condition. vertices at (0, +/- 2) and…

A: Explained below

Q: if the radio signal travel at a speed of 980ft/ms , find an equation of the hyperbola on which the…

A: Consider points A & B are two sending station and K is the of the ship, and suppose two-point be…

Q: Find an equation for the hyperbola whose transverse axiS is horizontal, with center at (6, -3) and…

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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.