If you apply the changes below to the absolute value parent function, f(x)=|x|, what is the equation of the new function? shift 8 units left, shift 3 units down.

y= lx+8l -3 is the answer.

Step-by-step explanation:

f(x) = lxl is absolute function if   function is shifted by left of right then its change in x and if  function is changed in up or down then its change in y

so f(x) = lx-hl +k is transformation of f(x) = lxl where h is shifting by right side and  k is shifting to  upward direction.

here its 8 unit left and 3 unit down that is h =-8 and k =-3

so new equation will be

y = lx-(-8)l + (-3)

y = lx+8l -3  is the answer

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.