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djverab [1.8K]
3 years ago
10

A diver dives from the 3 m board at a swimming pool. Her height, y, in metres, above the water in terms of her horizontal distan

ce, x, in metres, from the end of the board is given by y= -x^2 + 2x + 3. What is the diver's maximum height?
Mathematics
1 answer:
koban [17]3 years ago
8 0
The maximum height of the diver would be the y value of the vertex of the graph. The vertex of the graph is (1,4). The maximum height of the diver is 4 meters.
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Hello there,

Well we are going to start off with the equation to find the slope based on the given points:

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Now using the two given points we are going to plug in and solve:

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From this you know that \frac{1}{2} is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:

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