Question

the graph of the function ( g(x)=f(x)+k ) is a shift of ( k ) units down of the graph of ( f(x) ).

Explanation:

When \(k>0\), \(g(x)=f(x)+k\) shifts the graph of \(y = f(x)\) up by \(k\) units. When \(k < 0\), \(g(x)=f(x)+k\) shifts the graph of \(y = f(x)\) down by \(|k|\) units. The statement says it is a shift of \(k\) units down for any \(k\), which is incorrect. For example, if \(k = 2\), \(g(x)=f(x)+2\) is a shift up.

Answer:

False