Question

Make a table of values for the function rule. then graph the function. y=-x²+4​

Answer 1

check the attached picture

Explanation:

Given function is
`y=-x^2+4`.

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

`y=-x^2+4`

`y=-(1)^2+4`

`y=-1+4`

`y=3`

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