Question

if $\triangle abc$ is translated up eight unit(s) and to the right nine unit(s), wl of the following would be the new coordinates of point $a$? $a(0, 4)$ $b(-6, 0)$ $c(4, -6)$

Explanation:

Step1: Identify original coordinates of A

Original coordinates of \( A \) are \( (0, 4) \).

Step2: Apply translation (right 9, up 8)

For horizontal (x - coordinate) translation: add 9 to the x - value.
For vertical (y - coordinate) translation: add 8 to the y - value.
New \( x \) - coordinate: \( 0 + 9 = 9 \)
New \( y \) - coordinate: \( 4 + 8 = 12 \)

Answer:

The new coordinates of point \( A \) are \( (9, 12) \).