Write the equation for an absolute value function with the following transformations: translate left 9 units, stretch by a factor of 5, and translate down 23 units

j(x) = 5 |x+9|-23

Step-by-step explanation:

f(x) = |x|

translate left 9 units

y = f(x + C)  C > 0 moves it left

g(x) = |x+9|

translate down 23 units

y = f(x) + CC < 0 moves it down

h(x)= |x+9|-23

stretch by a factor of 5  

y = Cf(x)   C > 1 stretches it in the y-direction

j(x) = 5 |x+9|-23

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743