contestada

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)

Respuesta :

calculista

Answer:

[tex]h(6)=288\ m[/tex]

Step-by-step explanation:

we have

[tex]h(x)=-x^{2}+54x[/tex]

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)

[tex]h(6)=-(6)^{2}+54(6)[/tex]

[tex]h(6)=288\ m[/tex]

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