contestada

A modern sculpture in a park contains a parabolic arc that
starts at the ground and reaches a maximum height of 10 feet after a
horizontal distance of 4 feet. Write a quadratic function in vertex form
that describes the shape of the outside of the arc, where y is the height
of a point on the arc and x is its horizontal distance from the left-hand
starting point of the arc.

Respuesta :

Using the vertex form, the equation of the parabola is given by:

[tex]y = a(x - 4)^2 + 10[/tex]

The equation of a parabola, with vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

In this problem, it reaches a maximum height of 10 feet after a  horizontal distance of 4 feet, hence, the vertex is (4,10), that is, [tex]h = 4, k = 10[/tex]. Then, the equation for the parabola is:

[tex]y = a(x - 4)^2 + 10[/tex]

A similar problem is given at https://brainly.com/question/15165354

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