Question

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

Answer 1

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

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) + C C < 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