The points on function g(x) are: (-3,-2), (-2,-1), (-1,0), (0,1) and (1,2)
Complete question
The points in the table below are on the linear function f.
x 0 1 2 3 4
f(x) -4 -2 0 2 4
Function g is a transformation of function f using a horizontal shift 3 units left and a vertical compression by a factor of 1/2 . Plot the corresponding points on function g.
How to plot the corresponding points of g(x)?
The table of values of function f(x) are given as:
x 0 1 2 3 4
f(x) -4 -2 0 2 4
The function f(x) is transformed to g(x) as follows:
Horizontal shift 3 units left
The rule of this shift is:
(x,y) ⇒ (x - 3, y)
So, we have:
x -3 -2 -1 0 1
f'(x) -4 -2 0 2 4
Vertical compression by 1/2
The rule of this compression is:
(x,y) ⇒ (x, y/2)
So, we have:
x -3 -2 -1 0 1
g(x) -2 -1 0 1 2
Hence, the points on function g(x) are:
(-3,-2), (-2,-1), (-1,0), (0,1) and (1,2)
See attachment for the graph of g(x)
Read more about transformation at:
https://brainly.com/question/9753162
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