Answer: 25 feet.
Step-by-step explanation:
The height of the highest point is the y-coordinate of the vertex parabola. You can follow these steps:
1, Find the x-coordinate of the vertex with the following formula:
[tex]x=\frac{-b}{2a}[/tex]
In this case, you can identify that:
[tex]a= -0.01\\\\b=1[/tex]
2. Knowing these values you can substitute them into the formula and then evaluate:
[tex]x=\frac{-1}{(2)(-0.01)}\\\\x=50[/tex]
3. Rewrite the function as:
[tex]y= -0.01x^2 + x[/tex]
4. Substitute the value of "x" into the function and evaluate:
[tex]y= -0.01(50)^2 + 50\\\\y=25[/tex]
Therefore, the height of the highest point of the bridge is 25 feet.
