Question

Determine the direction this parabola opens:
Y=x^2+2x+8

Down or Up

Answer 1

The best way to solve this is to make it a function.
f(x)= x^2 +2x +8
Plug in values of x from -3 to 3 and solve ordered pairs to graph.
-3^2 +2(-3) +8 -2^2 +2(-2) +8
9 +-6 +8 4 +-4 +8
3+8 (-2,8)
11
(-3,11)
Graph the remaining points and your solution will be right in front of you.
Graph those two points and you can tell that it opens up.

Answer 2

Hello there!

You need to find an online calculator that will help you graph them.

Answer: The direction is open UP


See the graph bellow!