Answer:
g(x) = 12x + 27
Step-by-step explanation:
Take a point in the f(x).
f(0) = 12(0) + 3
f(0) = 3
A point on f(x) is (0,3).
Move the point 2 units left. It will make the x-coordinate decrease by 2.
0 - 2 = -2
A point on g(x) is (-2,3).
Substitute the point and the same slope into the equation of a line. The slope did not change.
y = mx + b
3 = 12(-2) + b
3 = -24 + b
b = 3 + 24
b = 27
Rewrite g(x) using b = 27 and the same slope, m = 12.
g(x) = 12x + 27
