Parabola Word Problems Worksheet With Answers Pdf

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Parabola Word Problems Worksheet With Answers Pdf
Parabola Word Problems Worksheet With Answers Pdf


Parabola Word Problems Worksheet With Answers Pdf -

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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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

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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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Quadratic Word Problems Mathemaddox

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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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