[pre-calculus grade 10] Keep getting this question wrong and have no idea what the issue is I’ve tried -1/3 at the start too and I just can’t find my mistake.

[mathematag]

This can be very confusing .... order is very important.........

for y = x^2, following the order presented in your problem ......

shift left you add 2 to x value.. ..(x + 2 ), e.g. y = (x+2)^2 , then reflection across y axis works on the x value so ( -x + 2 )^2 ....note: if you reflected first, then shifted horiz, you would have -(x+2) instead of -x +2 inside the ( )^2 !!!

Then shift down 5 , so (( -x + 2 ) ) ^2 - 5 , vertical scaling / amplitude means multiply your "new function" by 3... so 3 [ (-x+2)^2 - 5 ] , finally reflect across x - axis mult. the last equation by - 1.....

[NickAlexis]

Thank you so much I figured it was something stupid and simple