Q:

# The function y = β3(x β 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 and interpret the zeros of this tion A. Zeros at x = 2 and x = 6 B. Zeros at C. The zeros are the hot dog prices that give $0.00 profit (no profit). D. The zeros are the hot dog prices at which they sell 0 hot dogs. Accepted Solution A: the zeroes the serose of the x value is where y=0, that is where profit=0 the zeroes of the y value is where x=0 that's when the price is 0 dollars ok x zeroes solve for when y=0 $$0=-3(x-2)^2+6$$ $$-6=-3(x-2)^2$$ $$2=(x-2)^2$$ $$+/-\sqrt{2}=x-2$$ $$2+/-\sqrt{2}=x$$ x zeroes at $$x=2+\sqrt{2}$$ and $$x=2-\sqrt{2}$$ y zeroes x=0 $$y=-3(0-2)^2+6$$ $$y=-3(-2)^2+6$$ $$y=-3(4)+6$$ $$y=-12+6$$ $$y=-6$$ the y zeroes are where they sell 0 hot dogs for 0 dollars, it is$-6 profit
the x zereoes are where you make 0 profit, that occurs when you sell $$2+\sqrt{2}$$ and $$2-\sqrt{2}$$ hot dogs
not sure which answer you want because it doesn't specify which zeroes we want

A is wrong tho