Question

If the line given by the equation y = x is shifted down 4 units and stretched vertically by a factor of 2, what is the equation of the new line?

Answer 1

The new equation of the line after being shifted down 4 units and stretched vertically by a factor of 2 is y = 2x - 4.

Step-by-step explanation:

The initial line equation given is y = x. To shift this line down 4 units, we subtract 4 from the entire equation, which yields y = x - 4. Then, to stretch the line vertically by a factor of 2, we multiply the x term by 2, which results in y = 2x - 4. This is the equation of the new line after applying the described transformations.