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Math 171: Precalculus and Trigonometry (Su20) - Online > Assessment Assignment 10.3: The Parabola Score: 5.43/12 7/12 answered Question 7 < An arch is in the shape of a parabola. It has a span of 440 meters and a maximum height of 22 meters, Find the equation of the parabola Determine the distance from the center at which the height is 16 meters Select an answer Question Help D Post to forum Submit Question o a

Answer 1

Solt Consider the shape as. > p be the manimum height I 22 metres Tu OT(0,0) P Now Co-ordinades of p => (022) As we have drawn the parabola Symmetric to y anis & lox, 1 1oxal to the two {Distance from the origin extremetien Span IX,X2) 440 metres uyo 5) lox, lokal 10x21 ५५० loxil N (-220,0) (220,0) xu & These of the roots our basically parabola. form of So It y = f(ng must be of the a. (x-220) (n + 220) put point P (0,22) a. (-220) (+220) -> ar a 220 ciu our equation y. (a.220) (nd 220 220 ne(-220, 220

Now 220 for height (g): 16 metres Put yo lo in egna (n.220)(n+ 22o) 16 2² (220)2 - (220) 16x220 220 x 204 44880 9 se 2 22 n medres & 211.849 can also write eq? (n? - (220) 2) 220 -22 y of > 270] * [-220, 220] 220