ANSWER and EXPLANATION
To graph the equation given, we have to find values of y for certain values of x.
Let us pick x to be:
[tex]x=-5,-4,-3,-2,-1[/tex]
When x = -5:
[tex]\begin{gathered} y=-(-5)^2-6(-5)-3 \\ y=2 \end{gathered}[/tex]
When x = -4:
[tex]\begin{gathered} y=--(-4)^2-6(-4)-3 \\ y=5 \end{gathered}[/tex]
When x = -3:
[tex]\begin{gathered} y=-(-3)^2-6(-3)-3 \\ y=6 \end{gathered}[/tex]
When x = -2:
[tex]\begin{gathered} y=-(-2)^2-6(-2)-3 \\ y=5 \end{gathered}[/tex]
When x = -1:
[tex]\begin{gathered} y=-(-1)^2-6(-1)-3 \\ y=2 \end{gathered}[/tex]
Now, we have a table of values for the graph of the equation:
Now, plot the graph:
That is the graph of the equation.
