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What does it mean for a quadratic function to open upwards?

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The vertex of the function is (2, 5). This is the point where the graph reaches its minimum value.

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If the coefficient (a) is positive, the parabola opens upwards. If it is negative, the parabola opens downwards.

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The x-intercepts are (-1, 0) and (9, 0). These are the points where the graph crosses the x-axis.

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What is the maximum height reached by the stone in the graph?

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The maximum height reached by the stone is 4 feet, which is the highest point on the graph.

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What is the standard form of a quadratic function?

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What does the vertex of a parabola represent?

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The vertex of a parabola represents the highest or lowest point of the graph, depending on whether it opens upwards or downwards.

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How do you find the x-intercepts of a quadratic function?

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To find the x-intercepts, set the function equal to zero and solve for x. This can often be done by factoring.

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The coefficient 'a' determines the direction in which the parabola opens and the width of the parabola. A larger absolute value of 'a' makes the parabola narrower.

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