Please match each function formula with the corresponding transformation of the parent function y= -x^2-1

Answer:The answer in the attached figureStep-by-step explanation:we have the parent function[tex]y=-x^{2}-1[/tex]case 1) Reflected across the x-axiswe know thatThe rule of the transformation is(x,y)------> (x,-y)so[tex]y=-(-x^{2}-1)[/tex][tex]y=x^{2}+1[/tex]case 2) Reflected across the y-axiswe know thatThe rule of the transformation is(x,y)------> (-x,y)so[tex]y=-(-x)^{2}-1[/tex][tex]y=-x^{2}-1[/tex]case 3) Translated left by 1 unitwe know thatThe rule of the transformation is(x,y)------> (x-1,y)so[tex]y=-(x+1)^{2}-1[/tex]case 4) Translated right by 1 unitwe know thatThe rule of the transformation is(x,y)------> (x+1,y)so[tex]y=-(x-1)^{2}-1[/tex]case 5) Translated down by 1 unitwe know thatThe rule of the transformation is(x,y)------> (x,y-1)so[tex]y=-(x)^{2}-1-1[/tex][tex]y=-(x)^{2}-2[/tex]case 6) Translated up by 1 unitwe know thatThe rule of the transformation is(x,y)------> (x,y+1)so[tex]y=-(x)^{2}-1+1[/tex][tex]y=-(x)^{2}[/tex]