Question

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

of a taco food truck, where x is the price of a taco (in dollars). Find and
interpret the zeros of this function,
Select two answers: one for the zeros and one for the interpretation.
O
A. Interpretation: The zeros are where the daily profit is $0.00.
O B. Zeros: x = 3 - V3 = 1.58 and x = 3 + v = 4.41
O
c. Interpretation: The zeros are where the price of a taco is $0.00.
O D. Zeros: x = 3 and x = -3

Answer 1

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.

Answer 2

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

Zeroes are x = 1.58 and x = 4.41.

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 √(2)`

`\implies x = 3\pm √(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.