Carlos graphs the equations y=-1/2 x^2+4 and and y=-1/2 x^2-2x+2 generates the graph below. Which conclusion is supported by the graph?

Answer: The answer is B the second option. I just took the test.
Step-by-step explanation:
Answer:
2nd Option is correct.
Step-by-step explanation:
Given Functions:
[tex]y=\frac{-1}{2}x^2+4[/tex]
[tex]y=\frac{-1}{2}x^2-2x+2[/tex]
We need to find which conclusion supported by graph.
From the given, it is clear that both graph intersecting only at one point.
Also, One graph is translation of another graph.
So, the equation [tex]\frac{-1}{2}x^2+4=\frac{-1}{2}x^2-2x+2[/tex] has only one solution.
Therefore, 2nd Option is correct.