Question 307412
To find ordered pairs, just plug in arbitrary x values to find their corresponding y values.



If {{{x=2}}}, then {{{y=-3(2)^2-6(2)-5=-3(4)-6(2)-5=-12-12-5=-29}}} giving you the ordered pair (2,-29)



If {{{x=1}}}, then {{{y=-3(1)^2-6(1)-5=-3(1)-6(1)-5=-3-6-5=-14}}} giving you the ordered pair (1,-14)



If {{{x=0}}}, then {{{y=-3(0)^2-6(0)-5=-3(0)-6(0)-5=0-0-5=-5}}} giving you the ordered pair (0,-5)



If {{{x=-1}}}, then {{{y=-3(-1)^2-6(-1)-5=-3(1)-6(-1)-5=-3+6-5=-2}}} giving you the ordered pair (-1,-2)



If {{{x=-2}}}, then {{{y=-3(-2)^2-6(-2)-5=-3(4)-6(-2)-5=-12+12-5=-5}}} giving you the ordered pair (-2,-5)




If {{{x=-3}}}, then {{{y=-3(-3)^2-6(-3)-5=-3(9)-6(-3)-5=-27+18-5=-14}}} giving you the ordered pair (-3,-14)



If {{{x=-4}}}, then {{{y=-3(-4)^2-6(-4)-5=-3(16)-6(-4)-5=-48+24-5=-29}}} giving you the ordered pair (-4,-29)




Once you have your ordered pairs, which are essentially points, plot them on a grid and draw a parabola through them.