For this case we have a function of the form [tex]y = f (x)[/tex], where:
[tex]f (x) = - x ^ 2 + 1[/tex]
We must evaluate the function for [tex]x = -3[/tex]
Then we have to replace:
[tex]f (-3) = - (- 3) ^ 2 + 1\\f (-3) = - 9 + 1[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]f (-3) = - 8[/tex]
ANswer:
[tex]f (-3) = - 8[/tex]