A swim team member performs a dive from a 14-foot high spring board. The parabola below shows 20 the path of her dive. 12 8. 10 Distance from Springboard (feot) 8. What is the axis of symmetry? x3 9. Find the height in the air when the diver is 6 feet from the springboard. f(6)- 10. When the diver hits the water, how far from the springboard is the diver? f(0)= 11. What is the domain of this graph? 12. What is the range of this graph? sus Height (feet)

Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola  y =9x2 +x+c  One x-intercept is -2.  We have to find the value…

Q: A cable for a suspension bridge has the shape of a parabola with equation      y = kx2 . Let h…

A: (w,h) is a point on the parabola So, x=w and y=h will satisfy the equation

Q: More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence…

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Q: 9. Which equation represents the axis of symmetry of the parabola below? y = -3 x = -3 y = -5 -8…

A: axis of symmetry means from that axis , both side of the axis function will look like same

Q: 79. Given an equation of a parabola (x – h) = 4p(y – k) or (y - k) = 4p(x – h), how can you…

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Q: Q4) Find the y-intercept, x-intercept(s) and the vertex point for the parabola y = x2 + 6x + 5 then…

A: Given: Parabola: y=x2+6x+5 To Find:  The y-intercept, x-intercepts and the vertex point for the…

Q: y = 6-x? (x, y) What is the area of the largest rectangle that has its base on the x-axis and its…

A: The area of the rectangle is l ×w so find the area and differentiate is one time and find the…

Q: The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of…

A: We have to find the length of the cable.

Q: A parabola intersects the x-axis at x = 3 and r = 9. What is the -coordinate of the parabola's…

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Q: How to solve step by step: consider the function of y=x^2-10x+21. 1.) Does the parabola opens up or…

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Q: 5. If f(x) = 2x2 +5 and g(r) = Vx – 2, find (f o g)(x) %3D 6. Find the vertex of the parabola f(r) =…

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Q: What are the vertex and axis of symmetry of the parabola y = x² - 16x + 63? O A. vertex: (-8, -1);…

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Q: Math for College Readiness The equation of the parabola with the same shape as f (æ) = 9x2 but with…

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Q: Explain the process of finding the vertex of a parabola, use y = 2x + 8x - 24 as an example.Explain…

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Q: 18. A) Complete the square for y = 2x² − 12x – 14 B) Determine the coordinates of the vertex. Is it…

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Q: The revenue from selling x units of a product us given by y=-0.004x^2+80x.How many units must be…

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Q: The axis of symmetry of the parabola represented by d(x) = -22 7x + 2 is = --3.5. Determine and…

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Q: Which is an equation of the line of symmetry for the parabola in the accompanying diagram? 7 6- 5-…

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Q: The straight line EB cuts the parabola y = 2x2 - 3z - 2 at E and B and is parallel to y + r 0 F A 0…

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Q: 13. Mr. Redoble is sketching the windows for a home renovation. The shape is a parabola modeled by…

A: We’ll answer the 13th question since we answer only one question at a time. Please submit a new…

Q: What are the vertex and axis of symmetry of the parabola y = x2 – 16x + 63? A. vertex: (8, -1); axis…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 2. What is the maximum value of the parabola shown? y = - 2(2x − 1)² - 5 a) x = -1/ b) y = -5 c) x =…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

Q: Español Use the graph of the parabola to fill in the table. 8- -10 10 -2- 4- -6- -10+ (a) Does the…

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Q: G A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y =…

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Q: An elliptical plot of garden has a semi-major axis of 6m and a semi-minor axis of 4.8m. If these are…

A: Given :   Semi major axis of ellipse = 6m and semi minor =4.8 m

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: A seagull sits atop a cliff and spies a fish under the water. To catch the fish, the seagull dives…

A: The given equation of path is y=2x2-28x+90.…

Q: The concentration C in milligrams per liter of a certain drug in the bloodstream t hours after…

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Q: 2) Answer and explain the answers. a) What is the axis of symmetry in the equation y = x2? b) If the…

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Q: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

A: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

Q: What is the vertex of the parabola y = (x – 1)2 – 3? %3D

A: In this question to find the vertex of the parabola. So here we compare the given parabola with the…

Q: More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence…

A: Let's Solve,

Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the…

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Q: 2. Write the equation for a parabola, in vertex form, that satisfies the following conditions: a)…

A: Given: The vertex: (3, -8)

Q: Use the graph of the parabola to fill in the table. 10f 2- -10 -8 10 -2- -6- -8- -10+ (a) Does the…

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Q: Find the vertex, axis of symmetry and y-intercept of the associated parabola 2x2 44 f(x) Vertex Axis…

A: Formula:

Q: Consider the equation y = − (3x2 + 42x +144) • You must enter all of your answers as points.  a.…

A: As per bartleby guidelines we only give first three question answers.

Q: y = -4x2 + 6x – y = = -x2 + x – 3 What is the sum of the abscissa of the intersection points of the…

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Q: Although the playing surface of a football or soccer field appears to be flat, its surface is…

A: Given: f(x) = - 0.000234 ( x - 80 )2 + 1.5

Q: Find the vertex of the parabola by applying the vertex formula. 2. f(x) = 4x - 16x +3 The vertex is…

A: We can find the vertex as below

Q: - la2 + 8x- 15 Find the following for this parabola: A) The vertex = ( %3D B) The y intercept is the…

A: Simplifying the given quadratic equation:

Q: The revenue from selling x units of a product is given by y = -0.0002x2 + 20x. How many units must…

A: We have to find how many units must be sold in order to have the greatest revenue.

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: 1.in finding out the opening of the parabola when a is less then zero which way is the  the parabola…

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

Q: 6. Find the vertex of the parabola f(x) = 4x² – 64x + 107 (You must use either the vertex formula or…

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Q: what should be the value of k such that the equation y = x2 - 8x + k is a parabola with vertex at…

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Q: 5. What are the axis of symmetry and vertex of the parabola f(x) = 2x¯ + 6x + 12 AXIS OF SYMMETRY…

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Q: 9. What is the maximum value of the parabola shown ? -4- 2- 0 --2- 2 a) y = 5 b) x = 3 c) y = 3 d)…

A: Graph of the parabola is given, we have to find its minimum value.

Q: The flight path of a rocket, launched from the ground, is modeled by y = 0.25(40x-x²), where y is…

A: The problem is solved below

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.