Question

graph the image of h(1, -10) after a translation 3 units left and 8 units up.

Explanation:

Step1: Calculate new x - coordinate

The rule for a translation 3 units left is to subtract 3 from the x - coordinate. Given the original point $H(1,-10)$, the new x - coordinate is $1 - 3=-2$.

Step2: Calculate new y - coordinate

The rule for a translation 8 units up is to add 8 to the y - coordinate. The original y - coordinate is - 10, so the new y - coordinate is $-10 + 8=-2$.

Step3: Plot the new point

The new point after the translation is $(-2,-2)$. On the coordinate - plane, start at the origin. Move 2 units to the left along the x - axis and 2 units down along the y - axis to plot the point.

Answer:

The image of point $H(1,-10)$ after the translation is the point $(-2,-2)$.