y=f(x)
and the coordinates of y=f(x) are (-5,-5), (0,3), (7,3)
what would the coordinates be after the transformation of y=2|f(x)|-3
multiplying the function by two puts a vertical stretch of 2 on your function (each y value is multiplied by 2)
subtracting three at the end results in a downward shift of 3 (subtract 3 from every y value)
so multiply each y value by 2 then subtract 3
(-5,-13) (0,3) (7,3)