6 foot tall basketball player shoots a ball towards the basket and misses. The height in feet of the ball up off the floor of the court as it travels through the air can be modeled by the function: h(x)= -16x2+48x+6 where x is the number of seconds the ball is in the air after the shot is taken. When does the ball reach its maximum height? What is the maximum height of the ball? How much time will pass in seconds from the start of the shot to the ball hitting the floor

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A: x=3 corresponds to 2003.So, 2013 is 3+(2013-2003)= 3+10=13 year

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A: Given query is to find the function for the Model.

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Q: Graph the the quadratic function f(x) = 5 - (x + 2)2. Give the function domain and range.

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Q: What is the domain of the function f1x2 = 2x - 3x2

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Q: Graph the function. 3x 40) f(x) = (x + 5)(x - 3)

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Q: rewrite in polynomial function, show your solution. f(x)=(x-3)(x-4)(x+7)

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Q: State the domain of the function. х-3х+2 а. У- х-4 b. у-4x*+7x?-13х+100 f(x)- V2x-10 С.

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A: The given function is: f(x)=(2x+1)(3x-5)(x+7)

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Q: Identify the end behavior for the function - y = -3x^2 (x+2)

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Q: The function  models the daily profit, f(x)=-x2 +46x-360, in hundreds of dollars, for a company that…

A: f(x) = -x 2 + 46 x - 360 f(x) represents the daily profit in hundred so f(x) = 88

Q: Optimize the function 81x2+y2 subject to 4x2+y2=9

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Q: Describe the end behavior of f(x) = -2x3

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.