Question

question 20 (02.05 lc) the graphs of functions f(x) and g(x)=f(x)+k are shown: what is the value of k? (1 point) k = 2 k = 1 k = 0 k = -2

Explanation:

Step1: Select a point on the graphs

Choose \(x = 0\). For \(f(x)\), when \(x = 0\), \(f(0)=0\). For \(g(x)\), when \(x = 0\), \(g(0)=2\).

Step2: Use the relation \(g(x)=f(x)+k\)

Substitute \(x = 0\) into \(g(x)=f(x)+k\), we get \(g(0)=f(0)+k\).

Step3: Solve for \(k\)

Since \(g(0) = 2\) and \(f(0)=0\), then \(2=0 + k\), so \(k = 2\).

Answer:

\(k = 2\)