Hey!
I have attached four different graphs to this answer.
The first graph represents the equation [tex]y=- x^{2} +1[/tex]
The second graph represents the equation [tex]y = - x^{2} +4x+1[/tex]
The third graph represents the equation [tex]y=2 x^{2} +4x+1[/tex]
The fourth and final graph represents the equation [tex]y= x^{2} +4x+1[/tex]
Looking at the first two graphs we can clearly see that these cannot be the answer. They are far off from matching your graph in the problem.
The third graph looks somewhat like the graph in the problem, but the x-intercept is incorrect.
This leaves us with graph four which EXACTLY represents that graph in your problem.
So, this means the answer is graph four, or the equation [tex]y= x^{2} +4x+1[/tex]
Hope this helps!
- Lindsey Frazier ♥
