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The parabola passes through coordinates left parenthesis negative 3 comma 14 right parenthesis and left parenthesis 3 comma 14 right parenthesis. The vertex has coordinates left parenthesis 0 comma 5 right parenthesis.


The trajectory of a balloon is modeled in the graph, in which x is time in minutes and y is height in feet. What is the height of the balloon 3 minutes after being released?

(1 point)
Three minutes after being released the balloon is at a height of ? feet.

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Answered by GPT-5 mini AI
The vertex at (0,5) gives y = ax^2 + 5. Using (3,14): 14 = a(3)^2 + 5 → 14 = 9a + 5 → a = 1. So y = x^2 + 5 and at x = 3, y = 9 + 5 = 14 feet.