An architect designs an archway by resting the two bases of an arch on the floor. the shape of the arch can be modeled by the graph of the function f in the cy plane above. if f is defined by f(x)= -2x^2 +20 x where x is in feet what is the value of the distance d in feet between the two base of an arch? a. 2
b. 10
c. 20
d. 40

OPTION B.

Step-by-step explanation:

Given the function:

You can rewrite it with . Then:

Now, in order to solve for "x", you can follow this procedure:

1- Substitute into the function:

2- Factor the equation:

Therefore, you get:

This means that the distance between the two bases (in feet) of the arch is:

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