Question

Which statement describes the graph of function g compared to function f? f(x) = 6x − 2 g(x) = 0.4(6)x − 2

A. The graph of g is a vertical compression of the graph of function f.
B. The graph of g is a vertical stretch of the graph of function f.
C. The graph of g is a downward shift of the graph of function f.
D. The graph of g is an upward shift of the graph of function f.

Answer 1

Answer: Choice A

Reason: The 0.4 out front indicates a vertical compression

The height of preimage points is 0.4 times as tall for the image points.

Whenever we have something of the form
`g(x) = kf(x)` and 0 < k < 1, then g(x) is a vertical compression of the function f(x). In this case, k = 0.4