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Bas_tet [7]
2 years ago
10

HELPP PLEASE GIVE EVIDENCE

Mathematics
2 answers:
ELEN [110]2 years ago
7 0

Step-by-step explanation:

The value of k in the equation g(x) = f(x) + k comes out to be 8.

How the vertical shifting of a graph takes place?

If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.

From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units

If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).

So, g(x) = f(x) + 8........(1)

Comparing (1) and g(x) = f(x) + k, we get k=8.

Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.

Alexeev081 [22]2 years ago
5 0

See vertex has same x

  • Vertex of f(x)=(-3,-3)
  • Vertex of g(x)=(-3,5)

So

Put the values in equation

  • g(x)=f(x)+k
  • g(-3)=f(-3)+k
  • 5=-3+k
  • k=5+3
  • k=8

Option D

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