Question

Use the drawing tool(s) to form the correct answer on the provided graph.The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.g(x) = -1/2f(x + 2)

Answer 1

Given:

The graph of the function f is given and the function g is as:

`g(x)=-(1)/(2)f(x+2)`

Required:

To graph the function g.

Step-by-step explanation:

The graph of the function f(x+2), shift the graph f(x) left 2 units by subtracting 2 from the x-coordinates of the points on the graph of f.

The graph of the function

`(1)/(2)f(x+2)`

here

`a=(1)/(2)`

So the graph of g has undergone a vertical shrinking by a factor of

`(1)/(2)`

The graph of the function

`g(x)=-(1)/(2)f(x+2)`

reflect the graph of

`(1)/(2)f(x+2)`

across the x-axis by multiplying the y coordinate of the points on the graph of

`(1)/(2)f(x+2)`

by -1.

Thus the graph of the function

`g(x)=-(1)/(2)f(x+2)`

is as:

Final Answer:

The graph of the function g is attached in the explanation part.