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Function g is transformed to obtain function h as shown.
(x)=4g(x+5)
A.
The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.
B.
The graph of h is the graph of g vertically shrunk by a factor of 4 and shifted 5 units to the right.
C.
The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the right.
D.
The graph of h is the graph of g vertically shrunk by a factor of 4 and shifted 5 units to the left.

Respuesta :

MrsStrong

Answer:

A

Step-by-step explanation:

The transformation is [tex]h(x)=4*g(x+5)[/tex].

  • 4*g(x+5) means g(x) is vertically shifted by a factor if 4 by multiplying the entire function by 4. The values increase and are stretched (not shrunk to smaller).
  • g(x+5) means the input x is increased by 5 each time. This results in a horizontal shift left on the graph

The answer is A.  The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.

Answer: A for plato users

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