Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
2 answers:
Answer:
The correct option is C.
Step-by-step explanation:
The translation is defined as
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
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.
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The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.
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The generalized equation of a parabola in the vertex form exists
Vertex of the function f(x) exists (1, 5).
Vertex of the function g(x) exists (-2, -3).
Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.
The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.
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