The vertex form of the equation of a parabola is given by the following form:
In this exercise, we have the following equation:
From here, we can conclude that:
Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.
<h2>Learn more:</h2>Finding leading coefficient: brainly.com/question/1469367
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The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.
<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>Let x be the speed of the walkway.
(2.8 + x) = speed of child moving in direction of the walkway
(2.8 - x) = speed of child moving against the direction of the walkway
Travel time = distance/speed
Travel time of child moving in direction of walkway = 23/(2.8+x)
Total elapsed time given = 29s
23/(2.8 + x)+ 23 / (2.8-x) = 29
LCD = (2.8 + x)(2.8 - x)
simplifying the equation, we get
Speed of walkway = 1.84 m/s
The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.
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