19. Point A(4, 2) is translated according to the rule (x, y) (x + 1, y – 5) and then reflected across the y-axis.
a) In which quadrant of the coordinate plane is point A located?
b) What are the coordinates of translated point A’? In which quadrant of the coordinate plane is point A’ located?
c) What are the coordinates of reflected point A’’? In which quadrant of the coordinate plane is point A’’ located?
(3 points)
I don't want the answer, I just want how I would solve all three of these steps. I'll do the math myself thanks!!! :-D
I also want to know what they mean by A' and A''???
11 years ago
11 years ago
(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
11 years ago
Well I just asked for an explanation and not an answer but thanks! It helps a lot.
8 years ago
24658
8 years ago
Questions no. 5 ans solve
4 years ago
W h a t .
2 years ago
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...
2 years ago
whats tyhe awnser
2 years ago
u dont need to comment on how old the question is its not important
11 months ago
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.