Question

suppose $f$ is a function. consider another function $g$ defined as $g(x)=f(x)+44$. the graph of $g$ can be obtained from the graph of $f$ by \\(\bigcirc\\) a shifting the graph of $f$ to the right by 44 \\(\bigcirc\\) b shifting the graph of $f$ to the left by 44 \\(\bigcirc\\) c shifting the graph of $f$ up by 44 \\(\bigcirc\\) d shifting the graph of $f$ down by 44

Explanation:

When we have a function \(y = f(x)+k\), if \(k>0\), the graph of \(y = f(x)\) is shifted vertically upwards by \(k\) units. Here \(k = 44>0\) and \(g(x)=f(x)+44\). So the graph of \(g(x)\) is obtained by shifting the graph of \(f(x)\) up by 44.

Answer:

C. shifting the graph of \(f\) up by 44