Question

The function y= -2(x-2)^2+6 shows the daily profit (in hundreds of dollars) of a hot dog stand, where X is the price of a hot dog (in dollars). Find the interpret of zeros of this function. Select two answers: one for the zeros and one for the interpretation.

Answer 1

Statement "Zeros at x = 2 ± √3" and statement "the zeros are the hot dog prices that give $0.0 profit (no profit)" are correct choice would be (B) and (D).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The given options are:

A. Zeros at x=2 and x = 6

B. Zeros at x = 2 ± √3

C. The zeros are the hot dog prices at which they sell 0 hot dogs

D. The zeros are the hot dog prices that give $0.0 profit (no profit).

We have a function:

y = -2(x - 2)² + 6

To find the zeros of the function plug y = 0

-2(x - 2)² + 6 = 0

(x - 2)² = 3

x - 2 =  ±√3

x = ±√3 +2 or

x = 2 ± √3

At x= 2 ± √3 value of y = $0

Thus, statement "Zeros at x = 2 ± √3" and statement "the zeros are the hot dog prices that give $0.0 profit (no profit)" are correct choice would be (B) and (D).

Learn more about the function here:

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