Question

If you apple these changes to the linear parent function, f(x) = x, what is the equation of the new function?

Answer 1

• C) g(x) = 1/5x + 7

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Vertical compression of a function by a factor of a is:

• f(x) → a f(x), where a is between 0 and 1

Vertical compression of a function by a factor of 5 is:

• g(x) = 1/5 f(x)

Shifting up by b units is:

• f(x) → f(x) + b

If we apply both transformations we get:

• g(x) = 1/5x + 7

Option C is correct.