Answer:
(-2, - 7), (1, -10)
Explanation:
Two find any two points, we put in our desired values of x and solve to get the output
Let us choose x = - 2. Putting this value into the equation gives
[tex]q(-2)=-(-2+1)^2-6[/tex]simplifying the above gives
[tex]\begin{gathered} q(-2)=-1(-1)^2-6 \\ q(-2)=-1-6 \\ q(-2)=-7 \end{gathered}[/tex]Hence, we have the point (-2, -7).
Now we choose x = 1 and put it into the equation:
[tex]q(1)=-1(1+1)^2-6[/tex][tex]q(1)=-4-6[/tex][tex]q(1)=-10[/tex]Hence, we have the point ( 1, -10).
To summarise, the two points we got are:
[tex](1,-10),(-2,-7)[/tex]