Point A (4, 2) is translated according to the rule (x, y) arrow (x + 1, y - 5) and then reflected across the y-axis. (3 points)
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?
No idea what to do, going to have an F in math if I don't do good on this test :/
Im pretty sure those website links isn't what he needed
Or they
Hello Anonymous! Don't be scared about getting a F on your test, because that is not going to happen if someone helps you. And that is what I'll do.
Here are some websites that you can visit:
- WWW.Mathway.Com
- WWW.Brainly.Com
- WWW.Malmath.Com
and
-WWW.Webmath.Com
(If non of these don't help you, just try to let me know and I will try to find more websites for you to attend to. I hope I helped you a little forward to answering your question.)
Hoped it helped,
Lacey
I'm here to help you understand and solve this problem step by step, so don't worry! Let's break it down:
a) In which quadrant of the coordinate plane is point A located?
To determine the quadrant of a point, we need to examine the signs of its x and y coordinates in relation to the origin (0,0) of the coordinate plane. In this case, Point A has coordinates (4, 2). Since both x and y are positive, Point A is located in the first quadrant.
b) What are the coordinates of translated point A'? In which quadrant of the coordinate plane is point A' located?
To translate Point A according to the given rule (x, y) -> (x + 1, y - 5), we can simply apply the rule to the original coordinates of Point A by adding 1 to the x-coordinate and subtracting 5 from the y-coordinate.
For Point A (4, 2), applying the translation rule gives us:
A' = (4 + 1, 2 - 5) = (5, -3)
To determine the quadrant of Point A', we examine the signs of its x and y coordinates. Point A' has coordinates (5, -3). The x-coordinate is positive, but the y-coordinate is negative. Therefore, Point A' is located in the fourth quadrant.
c) What are the coordinates of reflected point A''? In which quadrant of the coordinate plane is point A'' located?
To reflect a point across the y-axis, we need to change the sign of its x-coordinate while keeping the y-coordinate the same.
For Point A' (5, -3), reflecting across the y-axis gives us:
A'' = (-5, -3)
To determine the quadrant of Point A'', we examine the signs of its x and y coordinates. Point A'' has coordinates (-5, -3). Both the x and y coordinates are negative. Therefore, Point A'' is located in the third quadrant.
So, to summarize:
a) Point A is located in the first quadrant.
b) The translated point A' has coordinates (5, -3) and is located in the fourth quadrant.
c) The reflected point A'' has coordinates (-5, -3) and is located in the third quadrant.
I hope this helps! Good luck on your test!
Translation: (x,y) → (x+1, y-5)
Reflection: (x,y) → (-x,y)
so together, (x,y) → (-x-1 , y-5)
so, (4,2) → (5,-3) → (-5,3)
I assume you know about quadrants, so finish it off.