Question

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

Explanation:

Step1: Recall translation rules

For a point \((x,y)\), translating \(a\) units left means \(x\) becomes \(x - a\), and translating \(b\) units up means \(y\) becomes \(y + b\).

Step2: Apply translation to \(U(10, - 4)\)

Left 10 units: \(x = 10-10 = 0\)
Up 7 units: \(y=-4 + 7=3\)
So the image point is \((0,3)\). To graph it, find the intersection of \(x = 0\) (y - axis) and \(y = 3\) on the coordinate plane.

Answer:

The image of \(U(10,-4)\) after translation is the point \((0,3)\), which should be plotted at the intersection of the y - axis (x = 0) and the horizontal line \(y = 3\) on the given coordinate grid.