Given that y = 3x + 5, if you translate his image 2 units up and 1 unit to the left, the linear function of his image is?

Given that y = 3x + 5, if you translate his image 2 units up and 1 unit to the left, the linear function of his image is?

It is better to use a special point to solve the problem. Let the image of y = 3x + 5 pass through point a (0,5) and move point a upward by 2 units to get point B (0,7) and move point B to the left by 1 unit to get point C (- 1,7). The translated line is parallel to the original line. Therefore, let the analytic expression of the translated line be y = 3x + K, and the coordinate of point C be substituted by 7 = - 3 + K, so k = 10