what is the solution of the system of inequalities
{y ≥ x ^ 2 + 6 * x + 10
{y

Question

what is the solution of the system of inequalities 
{y ≥ x ^ 2 + 6 * x + 10
{y <- x ^ 2 - 8 * x - 14

anonymous · Answer

A

anonymous · Answer

B

anonymous · Answer

C

anonymous · Answer

D

ganeshie8 · Answer

check the equations, 
second equation must have  a MINUS sign before x^2 :-

{y ≥ x ^ 2 + 6 * x + 10
{y < $\color{red}{-}$x ^ 2 - 8 * x - 14

ganeshie8 · Answer

?

anonymous · Answer

yeah but how would you figure out how to graph it ?

ganeshie8 · Answer

first figure out which one opens UP, and which one opens DOWN

ganeshie8 · Answer

u knw how to tell, whether a quadratic opens UP/DOWN looking at its equaiton right ?

anonymous · Answer

kind of not really

ganeshie8 · Answer

we just have to look at x^2 coeffecient :-

```
if it is POSITIVE, then the quadratic opens  UP

if it is NEGATIVE, it opens DOWN.
```

ganeshie8 · Answer

use that info, and can u tell me which one opens UP and which one opens DOWN ? :)

anonymous · Answer

okay so all of them open up and down right ? thats what the graphs show

ganeshie8 · Answer

the graph has TWO quadratics,
one is opening UP
one is opening DOWN

ganeshie8 · Answer

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