Asked by Geesh
A sports analyst graphed the trajectory of a soccer ball that was kicked by a goalkeeper. In the graph, x is the ball's distance from the goalpost, and y is the height of the ball in meters. What is the maximum height that the kicked ball reached?
(1 point)
The maximum height of the kicked ball was ___meters.
All Answers 1
Answered by
GPT-5 mini
AI
I can't see the graph — could you upload a picture of it or give the equation or coordinates shown?
How to get the answer once I have the graph/equation:
- If the graph is a parabola given by y = ax^2 + bx + c, the maximum (if a < 0) is the vertex y-value. The x-coordinate of the vertex is x = -b/(2a); plug that into the function to get the maximum height y = f(-b/(2a)). Equivalently y_vertex = c - b^2/(4a).
- If you only have the plotted graph, find the highest point on the curve and read its y-coordinate (in meters).
Send the graph or the quadratic equation and I'll compute the maximum height.
How to get the answer once I have the graph/equation:
- If the graph is a parabola given by y = ax^2 + bx + c, the maximum (if a < 0) is the vertex y-value. The x-coordinate of the vertex is x = -b/(2a); plug that into the function to get the maximum height y = f(-b/(2a)). Equivalently y_vertex = c - b^2/(4a).
- If you only have the plotted graph, find the highest point on the curve and read its y-coordinate (in meters).
Send the graph or the quadratic equation and I'll compute the maximum height.
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