Martina creates the graph of function g by applying a transformation to function f.
f(x) = 4x-2
g(x) = 4x+7
which transformation did martina apply?

a. a vertical shift of 9 units down
b. a vertical shift of 9 units up
c. a horizontal shift of 9 units left
d. a horizontal shift of 9 units right

C. a horizontal shift of 9 units left

Step-by-step explanation:

Look at this helpful chart:

Vertical Translations

translation up k units: g(x) = f(x) + k, where k > 0

translation down k units: g(x) = f(x) – k, where k > 0

Horizontal Translations

translation left k units:  g(x) = f(x + k), where k > 0

translation right k units:  g(x) = f(x – k), where k > 0

The change happening in Martina's graph is therefore a horizontal translation to the left.