Question

What is the solution of the system of inequalities?

y≥x2 +2x+2
y<−x2 −4x−2

Answer 1

u have
\[ \large y\geq x^2+2x+2 \]
\[ \large y<-x^2-4x-2 \]
complete the squares to be able to sketch the parabolas.

Answer 2

How do you complete the square?

Answer 3

\[ \large y-2+1\geq x^2+2x+1 \]
\[ \large y-1\geq(x+1)^2 \]
forget for a moment u r dealing with an inequality and graph
\[ \large y-1=(x+1)^2 \]

do the same with the other one.