Respuesta :

As we can see with the graph and the function given

[tex]f(x)=(-x-1)^2+3[/tex]

Because we have a parabola that opens upwards the end behavior

[tex]\begin{gathered} \: x\to\: -\infty\: ,\: f\mleft(x\mright)\to\: +\infty\: \\ x\to\: +\infty\: ,\: f\mleft(x\mright)\to\: +\infty \end{gathered}[/tex]

As we can see the correct answer is the last one