Question

the function y=-2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand wherex is the price of a hot dog (in dollars) find and interpret the zeros of this function

Answer 1

Explanation:

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

To interpret the zeros of this function , put y =0

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

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

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

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

`(x-3)^2=2`

Taking square root on both sides:

`(x-3)=\pm √(2)`

So, we got values of x :

1)
`x=3+√(2)=1.59`

2)
`x=3-√(2)=4.41`

This means the person will have profit if price of a hot dog ranges from $1.59 to $4.41.