Question

15.

Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = x – a.


A horizontal shift a units to the right.


A vertical shift a units downward.


A horizontal shift a units to the left.


A vertical compression by a factor of 1/a.

Answer 1

A horizontal shift a units to the right.

Explanation:

f(x) =x, is a line with the the x-intercept at (0,0)

g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right