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.

Question

Mathematics

Dixie Gates

29 June, 09:54

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.

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Answers (1)

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Jayden · Answer 1

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)