Question

A modern sculpture in a park contains a parabolic arc that

Answer 1

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

$y = a(x - 4)^2 + 10$

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

$y = a(x - h)^2 + k$

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, $h = 4, k = 10$. Then, the equation for the parabola is:

$y = a(x - 4)^2 + 10$

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