Write the equations after translating the graph of y=|2x|−1: one unit up

f(x + n) - translate n units left

f(x - n) - translate n units right

f(x) + n - translate n units up

f(x) - n - translate n units down

We translate the graph 1 unit up, therefore we have f(x) + 1. Substitute to the equation of function f(x) = |2x| - 1

f(x) + 1 = |2x| - 1 + 1 = |2x| = 2|x|

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.