The parent function, f(x) = 5x, has been vertically compressed by a factor of one-fourth, shifted to the right three units and up two units. choose the correct function to represent the transformation.

to vertically compress a function, f(x) by a factor of d, we multiply the whole function by d, so f(x) becomes d*f(x)

to shift a function to the right by c units, subtract c from every x

so f(x) becomes f(x-c)

to shift a function up by c units, add c to the whole function

so f(x) becomes f(x)+c

ok, given f(x)=5x

vertically compress by 1/4, multiply whole thing by 1/4

shift right 3 units, minus 3 from every x

shift up 2 units so add 2 to whole function

if you expand it you get

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls