Question

given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
o a 2
o b 3
o c 4

Explanation:

Step1: Select a point on the x - axis

Let's choose x = 0.

Step2: Find the y - values of f(x) and g(x) at x = 0

From the graph, when x = 0, f(0)= - 3 and g(0)=1.

Step3: Use the equation g(x)=f(x)+k

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

Step4: Solve for k

Substitute g(0)=1 and f(0)= - 3 into g(0)=f(0)+k, then 1=-3 + k.
Adding 3 to both sides gives k=4.

Answer:

c. 4