Question

11.2.3 Quiz: Completing the Square

Answer 1

Answer:

A. The zeros is at: $3 \±\sqrt 2$

B. The zeros are the hot dog prices that give $0.00 profit (no profit)

Step-by-step explanation:

Given

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

Solving (a): The zeros of the function

To do this, we equate y to 0.

$y = 0$

So, we have:

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

Subtract 4 from both sides

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

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

Divide both sides by -2

$(x - 3)^2 = 2$

Take the square root of both sides

$(x - 3) = \sqrt 2$

Add 3 to both sides

$x =3 \±\sqrt 2$

Option (b) interprets the zeros