19. Point A(4, 2) is translated according to the rule (x, y) (x + 1, y – 5) and then reflected across the y-axis.

Please help this is due today and I'm really confused.

(4,2) is in QI

since (x,y)->(x+1,y–5)
(4,2)->(4,-3) so it is in QIV

reflection in the y-axis flips the x-coordinate:
(x,y)->(-x,y)
So, (4,-3)->(-4,-3) in QIII

Well I just asked for an explanation and not an answer but thanks! It helps a lot.

24658

Questions no. 5 ans solve

W h a t .

damn, this question is almost 10 years old.

the person who asked this question should be done with college by now lmao-
i wonder how they're doing...

whats tyhe awnser

u dont need to comment on how old the question is its not important

To solve these steps, let's break them down one by one:

a) Determine the quadrant of point A:
To determine the quadrant of point A(4, 2), you need to identify the signs of the x and y coordinates.

Since both x and y are positive (x > 0 and y > 0), point A is located in the first quadrant of the coordinate plane.

b) Find the coordinates of translated point A':
According to the translation rule (x, y) -> (x + 1, y - 5), we need to add 1 to the x-coordinate and subtract 5 from the y-coordinate of point A to find the new coordinates, A'.

Given that point A is (4, 2), we apply the translation rule:

A' = (4 + 1, 2 - 5)
A' = (5, -3)

The coordinates of translated point A' are (5, -3). To determine the quadrant of point A', examine the signs of the x and y coordinates.

In this case, the x-coordinate is positive (x > 0), and the y-coordinate is negative (y < 0). Thus, point A' is located in the fourth quadrant of the coordinate plane.

c) Calculate the coordinates of reflected point A'':
To reflect a point across the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same.

The coordinates of A' are (5, -3). When reflecting across the y-axis, the sign of the x-coordinate changes:

A'' = (-5, -3)

The coordinates of reflected point A'' are (-5, -3). The quadrant of point A'' can be determined by looking at the signs of the x and y coordinates.

In this case, the x-coordinate is negative (x < 0), and the y-coordinate stays negative (y < 0). Thus, point A'' is located in the third quadrant of the coordinate plane.

Note: The notation A' and A'' represents the transformed versions of the original point A. A' denotes the translated point, and A'' denotes the reflected point.