The original function f(x) = 2x - 1 can be rewritten as f(x) = 2(x) + (-1).
To shift the function up three units, we add 3 to the entire function. This results in f(x) = 2(x) + (-1) + 3, or f(x) = 2x + 2.
To increase the slope by a factor of 3, we multiply the coefficient of x by 3. This results in f(x) = 3(2x + 2), or f(x) = 6x + 6.
Therefore, the correct answer is D. f(x) = 6x + 3.
Rewrite f(x) = 2x - 1 shifted up three units and the slope increased by a factor of 3
A. f(x) = 5x - 4
B. f(x) = 5x - 2
C. f(x) = 6x + 2
D. f(x) = 6x + 3
1 answer