f(x)=|x|; reflection in the x-axis and a vertical shrink by a factor of 1/3 followed by a translation 8 units up and 2 units left

Question

f(x)=|x|; reflection in the x-axis and a verticals shrink by a factor of 1/3 followed by a translation 8 unites up and 2 units left

Answer 1

reflection in the x-axis f(x) = -|x|

and a verticals shrink by a factor of 1/3 f(x) = -1/3 |x|

followed by a translation 8 unites up f(x) = -1/3 |x| +8

and 2 units left f(x) = -1/3 |x+2| +8