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The function y = -0.017x^2 + 0.55x models the height y, in feet, of your pet frog's jump, where x is the horizontal distance, in feet, from the start of the jump. How far did the frog jump? How high did it go? Round your answer to the nearest hundredth. Be sure to show work / explain your reasoning.

Respuesta :

jbmow
Setting y = 0, and solving for x, 0 = -.017x^2 + 0.55x, x= 0 and 32.35 feet
The vertex is its highest vertical height.  Using the x coordinate of the vertex which is -b/2a, this is .55/(2*0.17 = 16.17 or 1/2 the horizontal distance, it maximum height is 4.45 feet = f(16.17)