Question

The function y=-4(x - 3)2 + 8 shows the daily profit (in hundreds of dollars)

Answer 1

Answer:

Interpretation: The zeros are where the daily profit is $0.00.

Zeroes are x = 1.58 and x = 4.41.

Step-by-step explanation:

Given function,

$y=-4(x-3)^2+8$

For finding the zeros,

y = 0,

$-4(x-3)^2+8=0$

$-4(x-3)^2=-8$

$(x-3)^2=2$

$x-3=\pm \sqrt{2}$

$\implies x = 3\pm \sqrt{2}$

$\implies x\approx 4.41\text{ or }x=1.58$

Hence, the zeroes of the function are x = 1.58 and x = 4.41,

∵ x represents the price of a taco and y represents daily profit,

Therefore, the zeroes are where the daily profit is $ 0.00.

Answer 2

Answer:

Step-by-step explanation:

To find the zeros, set y=-4(x - 3)2 + 8 = 0.  Then -4(x - 3)^2 = -8, and:

4(x - 3)^2 = 8.  Dividing both sides by 4 yields (x - 3)^2 = 2.

Taking the square root of both sides yields x - 3 = ±2, so that

x = 3 ±2, or x = 5 and x = 1.  These are the zeros. The correct interpretatioon is A:  where the daily profit is $0.