1)(5, -3) is reflected over the y-axis. What are the coordinates of the image?
A) (5, 3)
B) (-5, 3)
C) (-3, 5)
D) (-5, -3)
2)If a translation is defined by (x, y) (x + 2, y - 3), what is the image of the preimage point
(-3, 5)?
A) (-5, 8)
B) (-5, 2)
C) (-1, 2)
D) (-1, 8)
The first one becomes intuitively easy if you sketch it
for the second:
what is (-3+2, 5-3) ?
1) To find the coordinates of the image point after reflecting (5, -3) over the y-axis, we need to negate the x-coordinate. Negating a number means changing its sign. So, the x-coordinate of the image point will be -5 (negative of 5) and the y-coordinate will remain the same. So, the answer is B) (-5, 3).
2) To find the image point after translating the preimage point (-3, 5) using the translation (x, y) -> (x + 2, y - 3), we need to add 2 to the x-coordinate and subtract 3 from the y-coordinate.
Adding 2 to -3 gives us -3 + 2 = -1.
Subtracting 3 from 5 gives us 5 - 3 = 2.
So, the image point is (-1, 2). Therefore, the answer is C) (-1, 2).