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Since the balll is at a height of 0 feet at x=0 and x=70, then the maximum height is archieved at x=35.Use the function rule to determine that maximum height and confirm it on the graph.h(x) = -0.03x (x-70)

Since the balll is at a height of 0 feet at x0 and x70 then the maximum height is archieved at x35Use the function rule to determine that maximum height and con class=

Respuesta :

The maximum height refers to the vertical coordinate of the vertex V(h,k), where

[tex]h=-\frac{b}{2a}[/tex]

According to the given equation, we have the following

[tex]h(x)=-0.03x(x-70)=-0.03x^2+2.1x[/tex]

Where a = -0.03 and b = 2.1

[tex]h=-\frac{2.1}{2\cdot(-0.03)}=\frac{2.1}{0.06}=35[/tex]

Then, we find k by evaluating the function when x = 35.

[tex]h(35)=-0.03\cdot35(35-70)=-1.05(-35)=36.75[/tex]

Hence, the maximum height is 36.75 feet.

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