Question

Which system is equivalent to {y=-2x2 y=x-2}

Answer 1

Answer:

OPTION C: y = -2y² - 8y - 8

                    x = y + 2

Step-by-step explanation:

The given equations are:

$y = -2x^2 \hspace{20mm} \hdots (1)$

$y = x - 2 \hspace{20mm} \hdots (2)$

From Equation (2), we get:

x = y + 2

Substituting this value of x in Equation (1), we get:

y = -2(y + 2)²

Expanding it in $(a + b)^2 = a^2 + 2ab + b^2$, we get:

y = -2{y² + 4y + 4}

⇒ y = - 2y² - 8y - 8

Therefore, OPTION C is the answer.