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Parabola Word Problems Worksheet With Answers Pdf
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Identify the vertex and the axis of symmetry of each parabola 7 8 9 LT 1 I can identify a function as quadratic given a table equation or graph Determine whether each function is linear or quadratic Identify the quadratic linear and constant terms 10 y x 2 x 4 11 y 3x x 5 12 y 5x x 5 5x2 13
Example 1 A model rocket is launched from the roof of a building Its flight path is modeled 2 by h 5 t 30 t 10 where h is the height of the rocket above the ground in metres and t is the time after the launch in seconds What is the rocket s maximum height Example 2 A rectangular field will be fenced on all four sides
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Quadratic Word Problems Worksheet With Answers Pdf Worksheet Resume
Quadratic Word Problems Worksheet With Answers Pdf Worksheet Resume
Parabola problems with answers and detailed solutions in the bottom of the page are presented Questions and Problems Find the x and y intercepts the vertex and the axis of symmetry of the parabola with equation y x2 2x 3 y x 2 2 x 3
Solution From the given information the parabola is symmetric about x axis and open rightward y 2 4ax here a 1 2 y2 4 1 2 x y2 4 8 x The parabola is passing through the point x 2 5 2 5 2 4 8 x x 6 25 4 8 x 1 3 m Hence the depth of the satellite dish is 1 3 m Problem 2
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Conic Sections Parabola Word Problem Maximum Height YouTube
Conic Sections Parabola Word Problem Maximum Height YouTube
Stan Ulam that graph of any quadratic function can be obtained from the core parabola f x 5 x2 by applying basic transformations We apply terminology from the core parabola to parabolas in general The point 0 0 is called thevertex of the core parabola and they axis is the axis of symmetry The axis of symmetry is a help
D Word Problem 1 A hyperbolic mirror used in some telescopes has the property that a light ray directed at a focus will be reflected to the other focus see figure The focus of a hyperbolic mirror has coordinates 24 0 Find the vertex of the mirror if its mount has coordinates 24 24
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Example 1 A model rocket is launched from the roof of a building Its flight path is modeled 2 by h 5 t 30 t 10 where h is the height of the rocket above the ground in metres and t is the time after the launch in seconds What is the rocket s maximum height Example 2 A rectangular field will be fenced on all four sides
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Determine its equation in vertex form 5 A parabola has a vertex at 17 23 and passes through 8 4 Determine its equation in vertex form 7 A parabol shaped bowl is 20cm deep and has a 50cm diameter at its edge Determine the parabola s a value 9 A rectangle has a length of x 8 and a width of 10 x
Example 1 A model rocket is launched from the roof of a building Its flight path is modeled 2 by h 5 t 30 t 10 where h is the height of the rocket above the ground in metres and t is the time after the launch in seconds What is the rocket s maximum height Example 2 A rectangular field will be fenced on all four sides
Determine its equation in vertex form 5 A parabola has a vertex at 17 23 and passes through 8 4 Determine its equation in vertex form 7 A parabol shaped bowl is 20cm deep and has a 50cm diameter at its edge Determine the parabola s a value 9 A rectangle has a length of x 8 and a width of 10 x
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