Subjects algebra

Water Height 1B1803

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1. The problem asks to find the equation modeling the height $y$ of a water stream as a function of time $x$ seconds after spraying. 2. The graph is a downward-opening parabola with vertex at approximately $(2.5, 130)$. 3. The general form for such a parabola is $$y = a(x - h)^2 + k$$ where $(h,k)$ is the vertex. 4. Here, $h = 2.5$ and $k = 130$. 5. The coefficient $a$ is negative because the parabola opens downward, and the problem suggests $a = -16$ (common in physics for height under gravity in feet). 6. Substitute values: $$y = -16(x - 2.5)^2 + 130$$ 7. This matches option B. Final answer: **B.** $y = -16(x - 2.5)^2 + 130$