HI esay pre calculus question plz helo A quadratic Function is given Express the
ID: 2901873 • Letter: H
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HI
esay pre calculus question plz helo
A quadratic Function is given Express the Function in standard form Find vertex and its x- and y-inter sketch its graph f (x) = -3x2 + 6x - 2 Find all local maximum and minimum values of the function whose graphic: Path of Ball A ball is thrown across a playing field from a height of 5 ft above the ground at an angle of 45 degree to the hori-zontal at speed of 20ft / s it can be dedued from physical principles that the path of the ball is modeled by function y = -32 / (20)2 x2 + x + 5 where x is the distance in feet that the ball has to would Find the maximum height attained by the ball Find the horizontal distance the ball has when it hits the ground.Explanation / Answer
1) a) The quadratic expression in general form is : y = ax^2+bx+c
b) x intercept = solution of equation ax^2+bx+c => x = -b/2a +/- (Sqrt(b^2-4ac))/2a
c) the graph can be seen here: https://www.wolframalpha.com/input/?i=-3x^2%2B6x-2
2) Local maximas : y=3 at x=-2 and x =1
Local Minimas: y = 0 at x =-1 and x =2
3) The graph of the function -0.8x^2 + x +5 is here :https://www.wolframalpha.com/input/?i=-0.08x^2%2Bx%2B5
a) The maximum height attained by the ball is (according to the graph) = 8.125
b) Maximum distance ball travels is 16.2378.
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