Question

Higher Order Thinking Describe the

transformation g of f(x) = |x| as a stretch and

as a compression. Then write two equations

to represent the function. What can you

conclude? Explain.

Answer 1

Answer:

Step-by-step explanation:

An absolute value function f when stretched or shrink vertically,

1). If a function f(x) = |x| is stretched vertically by a factor 'k',

   g(x) = k[f(x)] = k|x|  [where k > 1]

2). If the same function is vertically compressed by a factor 'k',

   g(x) = k[f(x)] = k|x|  [where 0 < k < 1]

Following these rules we can define a vertical stretch or compression of any function.