Question

HELP!!!! 30 Points!!!

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




The value of k is ___.

Answer 1

The value of k is 4.

This is because if you look at the graph, g(x) is 4 units higher than f(x).

You can also find a point on the graph:

g(x) = f(x) + k I will be using x = 0

g(0) = f(0) + k

When x = 0, g(0) = 2

When x = 0, f(0) = -2

Since you know f(0) = -2, you can plug in -2 for f(0) in the equation

g(0) = f(0) + k

g(0) = -2 + k

Since you know g(0) = 2, you can plug in 2 for g(0) in the equation

g(0) = -2 + k

2 = -2 + k Add 2 on both sides to get "k" by itself

4 = k

Answer 2

k=4

Explanation:

the y intercept of f(x) is -2

the y intercept of g(x) is 2

g(x) = f(x) +k

let x =0

g(0) and f(0) are the intercepts

2 = -2+k

add 2 to each side

2+2 = -2+2+k

4=k