The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wide and 27 inches high. Use the description of the fountain to label the three points on the graph, modeling the path of the water. 25 20 15 10 5. 10 15 20 25

Q: Find an equation for a parabola with vertex (5, 6) and focus (5, 1) Question Help: Video 1 D Video 2…

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Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

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Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 9. 8 10 9 -8 -6 5 4 3 2…

A: According to the graph coordinate of vertex is (-4,-9)

Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 6- 4 -10 -9 -8 -6 -5…

A: using the given graph

Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: A parabola can have symmetry about the y-axis. For example:

Q: Write an equation for a parabola with a vertex of (5,2) and a focus of (5,1) in vertex form. Show…

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Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

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Q: Which is true about the graph of y < x2 + 2x − 6?   A. The parabola is a solid line. B. The…

A: Equation : y=x2 + 2x - 6 y = x2 + 2x +1 - 7 y = (x+1)2 - (√7)2 (y+7) = (x+1)2  This is equation of a…

Q: Determine the equation of the parabola whose graph is given below. Write your answer in General…

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Q: 5. What value of a does the graph of 1 becomes an ellipse whose major axis is horizontal? 16 A) 04…

A: We will find the value of a.

Q: A satellite dish is in the shape of a parabola. The parabola can be modeled using the equation…

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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 is the lowest point of a parabola that opens up and the highest point of a parabola that opens…

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Q: A suspension bridge has a cable shaped like a parabola. The bridge is supported by two towers. The…

A: Eq of parabola in this case is X^2=4ay

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

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Q: E. Explain what a second-degree equation in tow variables, x and y, is, and how you can ell whether…

A: Please look into the next step for details

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

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Q: Which is the standard form of the parabola y=−12(x+1)^2+5? (options in image

A: Given equation :

Q: Vertex: (6, –8), Focus: 4

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Q: Give the focus, directrix, and axis for the parabola. y2 = -32x A) (8, 0), x = -8, x-axis B (-8, 0),…

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Q: A parabola has a vertex at the origin and a focus of (0, 7/4). What is the equation of the parabola.

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Q: Graph the parabola y = -x? – 2 by plotting any three points on the parabola. Move the key points to…

A: Given parabola equation y=-x2-2

Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 8 3 2. -10 -9 -8 -6 -5…

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(-1, 0), Focus F(-4, 0)

A: Given that vertex V(-1, 0), Focus F(-4, 0). Thus, h,k=-1,0. Focus: F-4,0=Fh+b,k.

Q: Complete the sentence. x? y? For the ellipse + 4 25 = 1, the vertices are the points. and x? y? For…

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Q: 6+ 5- 4+ 3+ 1+ -8-7-6-5-4-3-2-11+ 3/4 5 6 78 -2+ -3-

A: To write the equation of parabola from the given graph, The standard equation of parabola is given…

Q: For Exercises 27–34, an equation of a parabola x = 4py or y = 4px is given. a. Identify the vertex,…

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

Q: A lamp has the shape of a parabola when viewed from the side. The lamp is 32 centimeters wide and 32…

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Q: Quiz Active 1 Which equation has a graph that is a parabola with a vertex at (5, 3)? O y = (x- 5)2 +…

A: Given: A parabola whose vertex is 5, 3. The vertex form of a concave upward parabola with vertexh,…

Q: vertex: (– 2, 5); focus: (- 2, 6)

A: Given problem:- What is an equation of a parabola with the given vertex and focus ?  Vertex (-2, 5)…

Q: Explain why the parabola shown in the figure below is not a good fit for the data. 10 |8

A: Note that, a model is good fit for the given data then the curve exactly lies on the given ordered…

Q: Write the equation of a parabola whose directrix is æ = 4.5 and has a focus at (13.5, 4). Preview

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Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: It is given that, "I threw a baseball vertically upward and its path was a parabola."

Q: 4 5 12 6 21 Identify the vertex of the parabola: Remember that the vertex is a point!

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Q: Find an equation of a parabola that satisfies the given conditions. vertex (0,0), focus (2,0)

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Q: Find the equation of the parabola with the given properties Vertex (0, 0), focus (8,0).

A: According to the question the vertex is at (0, 0); h = 0 and k = 0   Since the vertex and focus lie…

Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 6. 4 "10 9 -8 4 4 -8…

A: Given, The graph of the parabola We have to find the vertex of the parabola

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: How did the graph change from the original parabola? √ Share With Class

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Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 6. 4. 3 10 9 -2 "3 4 "5…

A: Solution :- vertex(h,k)

Q: 3. parabola, 4. How can we determine whether a parabola has a vertical or a horizontal axis? 5. How…

A: 4) If x is squared then the parabola is vertical ( i.e. vertical axis parabola) If y is squared then…

Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

Q: 7. Discuss how you know the direction that a parabola opens if you are given an equation for the…

A: The standard form of the parabola is: y=ax2+bx+c

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

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Q: What is the equation of the parabola whose focus is at the origin ?(0,0) and whose directrix passes…

A: To sketch the parabola whose focus is the origin and directrix passes through the points (−4,0) and…

Q: Find the equation of a parabola that has a vertex at (6,2) and focus at (7,2 ) Explain your answer a…

A: To find the equation of parabola.

Q: Write the standard form of the equation of the parabola that has the indicated vertex and passes…

A: GIven information: The vertex of the parabola is -3,4 and the point is 0,13. The general equation of…

Q: What is the distance between the vertices of the ellipse: 64x^2 + 25y^2 _ 16x - 16y-648= = 0? C.…

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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.