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riadik2000 [5.3K]
3 years ago
5

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

Mathematics
2 answers:
34kurt3 years ago
5 0

Answer:

The correct option is C.

Step-by-step 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.

Jlenok [28]3 years ago
3 0

Answer:

C.) 4

Step-by-step 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.

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