A coordinate grid is very handy when it comes to drawing geometric shapes such as triangles. Let's create an example triangle ABC with the locations
A = (2,3)
B = (9,5)
C = (4,-10)
Plot those points and connect the dots. That forms triangle ABC. We can translate triangle ABC to any other position we want. Let's say we want to shift it 2 units to the left. That means we subtract 2 from each x coordinate while keeping the y coordinates the same. Therefore
A' = (0, 3)
B' = (7, 5)
C' = (2,-10)
Plot triangle A'B'C' and you should see that this is a shifted copy of triangle ABC.
The rotation rules are a bit more complicated, and it depends where you place the center of rotation; however, it is possible to use coordinate math like done above.
Luckily the reflection rules over the x or y axis are fairly simple. If we reflect over the x axis, then we flip the sign of the y coordinate. Or if we wanted to reflect over the y axis, we flip the sign of the x coordinate.
Example: A' = (0,3) reflects over the x axis to get A'' = (0, -3)
I’m working on something like that now
Did you just state the answer? Because it seems like you just answered the question for us.
Answer:
Step-by-step explanation:
Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of 
where t is expressed in seconds
The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity
Velocity at time t = s'(t) = 
This becomes 0 when t =15 seconds
Hence at 15th second the rock starts falling and upto
s(15) = 
metres high it goes
The time taken to reach highest point is = 15 seconds.
Yreflection in y-axis (x, y) → (-x, y) **the sign of the x-coordinate changes, the y value stays the same**
A'(1, 4)
B'(5, 8)
C'(5, 4)
D'(4, 2)
