Question

The function h(x)= -x2 + 54x Models the path of water in a fountain in meters. The function represents the vertical distance, H, as a function of the horizontal distance, X. What is the value of H(6)

Answer 1

`h(6)=288\ m`

Explanation:

we have

`h(x)=-x^(2)+54x`

This is a vertical parabola open downward

The vertex represent a maximum

we know that

h(6) means, the value of the function h(x) when the value of x is equal to 6

so

For x=6

substitute in the quadratic equation and solve for h(x)

`h(6)=-(6)^(2)+54(6)`

`h(6)=288\ m`