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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svlad2 [7]

The correct answer is C.) (y|y > -4).

In order to find the range, we look for the possible numbers that y can be. In this case, you'll see the lowest the number goes is -4 and it continues up forever. Therefore, the answer is that y has to be greater than -4.

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77julia77 [94]

Answer:

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Step-by-step explanation:

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