Answered

Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = x − 16.

A vertical shift 16 units upward.

A vertical shift 16 units downward.

A horizontal shift 16 units to the left.

A horizontal shift 16 units to the right

Answer :

MrRoyal

The transformations are

  • (b) A vertical shift 16 units downward.
  • (d) A horizontal shift 16 units to the right

How to determine the transformation?

The functions are given as:

f(x) = x

g(x)= x - 16

When a function is shifted right, the transformation rule is:

(x, y) = (x - h, y)

This means that the transformation is (d) A horizontal shift 16 units to the right

Since the parent function is a base linear function.

The transformation can also be represented as:

(x, y) = (x, k - h)

This gives

g(x)= x - 16

This means that the transformation is (b) A vertical shift 16 units downward.

Hence, the transformations are (b) and (d)

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