Question

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.

Answer 1

Answer: A for plato users

Answer 2

A

Explanation:

The transformation is
`h(x)=4*g(x+5)`.

• 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.