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

Answer:

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

Option C. Zeros at $x=3(+/-)\sqrt{2}$

Step-by-step 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

$x-3=(+/-)\sqrt{2}$

$x=3(+/-)\sqrt{2}$