Question

determine where x would be if you translated point x 3 units to the left and 9 units down. (-4, -5) (-1, 5) (-10, 2) (-4, 4)

Explanation:

Step1: Find the original coordinates of point X

From the graph, the original coordinates of point \( X \) are \( (-1,4) \).

Step2: Apply the translation rule

The translation rule for moving a point \( (x,y) \) \( a \) units to the left and \( b \) units down is \( (x - a,y - b) \). Here \( a = 3 \) and \( b=9 \).
Substitute \( x=-1,y = 4,a = 3,b = 9 \) into the rule:
\( x'=-1-3=-4 \)
\( y'=4 - 9=-5 \)

Answer:

\((-4,-5)\)