Part I a. Find an equation of the parabola with vertex of coordinates (금,3) and 9 39 containing the point of coordinates 10'50, b. Find another equation of the parabola with vertex of coordinates (G,-) (131 3 and containing the point of coordinates 20 '10. C. Find an equation of the circle that has a diameter as the distance between the two vertices of the parabolas found in parts a and b. of the tangent line to the circle found in part c at the pointT

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 an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±3), vertices: (0,…

A: we need to find equation of hyperbola Given  Foci : (0,±3), vertices : (0,±1)   Since vertices are…

Q: ht

A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates…

Q: In the given equation as follows , classify the graph of the equation as a circle, a parabola, an…

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Q: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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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: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±5), length of…

A: Given that hyperbola satisfies the following conditions: Foci=0,±5  and length of transverse axis is…

Q: One point on a parabola is (–7, 17). The focus of the parabola is (5, 1). Which equation represents…

A: Given

Q: Find an equation of the circle that has a diameter as the distance between the two vertices of the…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

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Q: 9. Write the equation of a parabola in standard form if the vertex is at (5, 0). And opens upward…

A: The parabola vertex (5,0) and focal length 10 units

Q: Draw a sketch of the arch or culvert on coordinate axes, with the horizontal and vertical axes…

A: A culvert is shaped like a parabola, 18 ft across the top and 12 ft deep. From given information we…

Q: Graph the parabola with the given values: focis :(3,4), Ld: y=-2 Include a, vertices, p1, p2 and…

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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: Find the equation of the parabola with a vertex at (2,1)  and focus at (2,3). Explain how to graph…

A: Topic:- parabola

Q: The transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

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Q: Determine the equation of the hyperbola using the information given. vertices located at (3, 0),…

A: Given query is to find the equation of the Hyperbola.

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±2), vertices: (0,…

A: We can use the concept of hyperbola in order to solve the given problem.

Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: 6. Write the equation of the parabola in vertex form that has a the following information: Vertex:…

A: The standard form of a parabola with axis of symmetry parallel to x-axis is given by y-k2=4px-h with…

Q: find the equation of the parabola with the given properties. Vertex (3, 4), directrix y = −2

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A: Provided figure is Diameter=2x=4 ⇒ x=2 Depth=y=2

Q: 1P If an automobile head light reflector is cut by a plane through its axis, the section is a…

A: Given : Diamete of the headlight is 250 mm.

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

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+10, 0), length of…

A: The foci of the hyperbola are ±10,0 and the length of the transverse axis is 16. The objective of…

Q: Given the parabola x^2=4y, a line passes through point A (4,4) and the focus of the parabola. Find…

A: Topic:- Parabola

Q: The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridge…

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Q: Pick one of the equation a or b from Question 3 to graph the parabola. Indicate x- intercepts, y-…

A: Parabola equation is y = 16x2 - 1. Graph:

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

A: We will find the equation of hyperbola.

Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: 4. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola and then…

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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: Suppose that two people standing 1.5 mi (7920 ft) apart at points A and B hear a car accident. The…

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Q: Find the standards form of the equations of the below parabolas with the given characteristics.

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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. Concept: The equation of…

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

A: follow next step

Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: The cables of the suspension bridge are in the shape of a parabola. The towers supporting the cable…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+11, 0), vertices:…

A:

Q: See attached

A: To identify the vertex and the four points of the parabola as required, in order to graph it

Q: The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridge…

A: Cable is 116 meters high at 120 meters away from the tower. Answer and explanation is given below

Q: 10) Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola: 4x2 + 25y2 +…

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Q: The length of the latus rectum of a hyperbola is equal to 18 and the distance between the foci is…

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Q: b. Find another equation of the parabola with vertex of coordinates 131 and containing the point of…

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Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…

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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.