Final answer:
To shift the point p left by 3 units and up by 6 units, the x-coordinate is subtracted by 3 and the y-coordinate is increased by 6, resulting in the new matrix [-5 13].
Step-by-step explanation:
When shifting the point p, represented by the matrix [-2 7], the process involves an adjustment to both the x-coordinate (horizontal movement) and the y-coordinate (vertical movement).
To shift the point left by 3 units, you subtract 3 from the x-coordinate.
In the case of the point p, with an initial x-coordinate of -2, this becomes -2 - 3 = -5.
To shift the point up by 6 units, you add 6 to the y-coordinate.
Therefore, starting with an initial y-coordinate of 7, this is calculated as 7 + 6 = 13.
Thus, after the transformation, the new matrix representing point p will be [x1 y1] = [-5 13].