Answer: (-11, 1)
Step-by-step explanation: To identify the image of the preimage (-7,0) after a translation left 4 units and up 1 unit, we must apply addition and subtraction given that a translation left signifies subtraction, and a translation right signifies addition:
[tex](-7) - 4 = -11[/tex]
Thus, the x-coordinate of the image is -11.
[tex]0 + 1 = 1[/tex]
The y-coordinate of the image is 1.
Therefore, we find the image of the translation to be (-11, 1).
