Question

1. translating a shape 5 units left and 3 units up changes the coordinates of (4, 9) to what?

a. (-1,12)
b. (-1,6)
c. (7,4)
d. (9,12)

Explanation:

Step1: Recall translation rules

For a point \((x,y)\), translating left by \(a\) units changes \(x\) to \(x - a\), and translating up by \(b\) units changes \(y\) to \(y + b\).

Step2: Apply to given point

Given point \((4,9)\), translate 5 units left (\(x = 4 - 5\)) and 3 units up (\(y = 9 + 3\)).
Calculate \(x\): \(4 - 5 = -1\)
Calculate \(y\): \(9 + 3 = 12\)
So the new coordinate is \((-1,12)\).

Answer:

a. \((-1,12)\)