Question

PLEASE HELP!!!

What is the formula of g in terms of f?
Choose 1 answer:
A. - 1/3 f(x)
B. f(-3x)
C. -3f(x)
D. f (- 1/3x)

Answer 1

A

Explanation:

y = a f(x)

If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a

If 0 < |a| < 1 then f(x) is squashed vertically

If a < 0 then f(x) is also reflected in the x-axis

y = f(ax)

If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a

If 0 < |a| < 1 then f(x) is stretched horizontally

If a < 0 then f(x) is also reflected in the y-axis

g(x) has been squashed vertically by a scale factor of 1/3 (green on the attached diagram) and then reflected in the x-axis (red on the attached diagram)

Therefore, the solution is
`g(x) = -\frac13f(x)`