Question

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

A.) 2
B.) 3
C.) 4
D.) 5

Answer 1

C.) 4

Explanation:

You can solve this a couple ways but I solved it by looking at the graph. g(x) is 4 units above f(x). Adding four to f(x) would shift it up 4 units. Hope that helped.

Answer 2

The correct option is C.

Explanation:

The translation is defined as

`g(x)=f(x)+k`

Where, a is horizontal shift and b is vertical shift.

If k>0, then the graph shifts b units up and if k<0, then the graph shifts b units down.

In the given graph red line represents the the function g(x) and blue line represents the function f(x).

y-intercept of g(x) = 1

y-intercept of f(x) = -3

`k=1-(-3)=1+3=4`

It means the graph of f(x) shifts 4 unit up to get the graph of g(x). So, the value of k is 4.

Therefore the correct option is C.