Question

graph the image of u(10, -4) after a translation 10 units left and 7 units up.

Explanation:

Step1: Calculate new x - coordinate

The original x - coordinate of point U is 10. Moving 10 units left means subtracting 10 from the x - coordinate. So, \(x=10 - 10=0\).

Step2: Calculate new y - coordinate

The original y - coordinate of point U is - 4. Moving 7 units up means adding 7 to the y - coordinate. So, \(y=-4 + 7 = 3\).

Answer:

The image of \(U(10,-4)\) after the translation is \(U'(0,3)\). To graph it, locate the point \((0,3)\) on the coordinate - plane, which is on the y - axis, 3 units above the origin.