Define a function by the formula, the graph of which passes through point A (1; 4) parallel to the graph

Define a function by the formula, the graph of which passes through point A (1; 4) parallel to the graph of the function y = 3x-1

The condition for the parallelism of the graphs of linear functions is the equality of their slopes k. Since the graph of the required function is parallel to y = 3x – 1, k = 3. Substitute the coordinates of point A in the general form of the equation of the linear function (y = kx + b) and find b:

3 * 1 + b = 4;

b = 1.

Answer: the required formula looks like this: y = 3x + 1.