H(x) = -(x + 1)(x - 7)
What is the maximum height that the ball will reach?

16 units.

Step-by-step explanation:

To find the vertex, first simplify the quadratic equation into its standard form:

Using this formula, we can then find the axis of symmetry by using the formula S = -b/2a:

The axis of symmetry lies on x = 3.

You can then substitute x for 3 in the equation to find the vertex of the parabola:

The ball will be 16 units high after travelling 3 units horizontally. This is the maximum height the ball will reach before falling.

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step-by-step explanation:

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