Answer is A. y = -x^2 + 5
Step-by-step explanation
We know a parabola the opens “down” if ax^2 is < 0 (negative).
So we eliminate options B and C that are +
A.
- x^2 + 5 = 0
add x^2 to both sides to isolate variable
-x^2 + x^2 + 5 = 0 + x^2
Simplify
5 = x^2
Take square root of both sides
√5 = √x^2
+ - 2.236 = x
The given graph shows the line crossing the x axis at just over +2 and -2 so
A) -x^2 + 5 is the correct solution
I graphed it to prove my solution