Hey!
I have attached four different graphs to this answer.
The first graph represents the equation [tex]y=2 x^{2} - 3[/tex]
The second graph represents the equation [tex]y = -3 x^{2} +2[/tex].
The third graph represents the equation [tex]y= 3 x^{2} -2[/tex].
The fourth and final graph represents [tex]y=2 x^{2} -2[/tex].
Now, at first I thought the correct answer was graph four, but then I took a closer look at the image you provided and I can tell that that was not the correct answer. You see, both the last to graphs look fairly similar, but they are different by a few points.
Your graph shows two x-intercepts that are not exactly on -1 and 1. Which explains why I though graph number four was the correct answer. But it cannot be the correct answer because graph number 4 shows two x-intercepts EXACTLY on -1 and 1.
So, this means the answer is graph 3, or the equation [tex]y= 3 x^{2} -2[/tex].
Hope this helps!
- Lindsey Frazier ♥
