Question

The function y = -2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x ist the price of a hot dog (in dollars). Find and interpret the zeros of this function

Answer 1

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at

Explanation:

Answer 2

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at
`x=3(+/-)√(2)`

Explanation:

we know that

The zeros of the function are the values of x when the value of y is equal to zero

In this problem

The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero

we have

`y=-2(x-3)^(2)+4`

Find the zeros

equate the equation to zero

`0=-2(x-3)^(2)+4`

`2(x-3)^(2)=4`

`(x-3)^(2)=2`

square root both sides

`x-3=(+/-)√(2)`

`x=3(+/-)√(2)`