Question

question 11 (mandatory) (1 point)
the graph of the function ( g(x)=f(x)+k ) is a shift of ( k ) units down of the graph of ( f(x) ).
true
false

Explanation:

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

Answer:

False