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

check the attached picture

Step-by-step explanation:

Given function is .

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

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.

xy

-28

-15

04

15

28

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11