Answer:
check the attached picture
Step-by-step explanation:
Given function is [tex]y=-x^2+4[/tex].
Now we need to make a table of values for the function rule then graph the function.
We are free to plug any values of x like -3,-2,-1,0,1,2,3,... etc becaues domain of polynomial function is all real numbers.
Let's plug x=1 into given function to find the y-value
[tex]y=-x^2+4[/tex]
[tex]y=-(1)^2+4[/tex]
[tex]y=-1+4[/tex]
[tex]y=3[/tex]
Hence the first point is (1,3).
Same way we can find few more points to complete the table then graph those points and connect them to get the final graph.
x y
-2 8
-1 5
0 4
1 5
2 8
