Question

The graphs of functions f(x) and g(x) = f(x) + k are shown below:

B
5
4
3
2
The value of k is
g(x)
f(x)

Answer 1

Answer: 4

Explanation:

g(0) = 2

f(0) = -2

so g(0) = 2 = f(0) + 4 = -2 + 4

Answer 2

Based on the graphs of functions f(x) and g(x) = f(x) + k, the value of k is 4.

In Mathematics and Euclidean Geometry, the translation a geometric figure upward means adding a digit to the value on the positive y-axis of the pre-image;

g(x) = f(x) + k

Conversely, the translation of a graph downward means a digit would be subtracted from the numerical value on the y-axis of the pre-image:

g(x) = f(x) - k

In this context, we can logically deduce that the graph of the function f(x) would shift k units up if the function were changed to g(x);

k = 2 - (-2)

k = 2 + 2

k = 4 (4 units up)