9514 1404 393
Answer:
2. K'(-1, -5)
3. (-3, 5), (3, 10), (-6, 8); translation left 2 and up 7
Step-by-step explanation:
2. The transformation is the one you have shown:
(x, y) ⇒ (x, -y) . . . . reflection over the x-axis
You are given the coordinates for K and asked for K', the reflected point. Use the x- and y-values in the transformation formula:
K(-1, 5) ⇒ K'(-1, -5) . . . . . . the y-coordinate is negated
It's that simple.
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3. Same deal, different formula.
(x, y) ⇒ (x -2, y +7)
A(-1, -2) ⇒ A'(-1-2, -2+7) = A'(-3, 5)
B(5, 3) ⇒ B'(5 -2, 3 +7) = B'(3, 10)
C(-4, 1) ⇒ C'(-4 -2, 1 +7) = C'(-6, 8)
When constants are added to the coordinates, the transformation is a translation.
The x-values are decreased by 2, so that is a shift left by 2 units.
The y-values are increased by 7, so that is a shift up by 7 units.
The attachment shows the translated triangle (red). The translation vector (-2, 7) is shown as a black arrow. You will notice each triangle vertex is translated that length in that direction.
We want to make a 4 players team, and there are total 8 players. As we know the order of selection does not matter in a team of players, only the combination of players matters.
So we would use concept of Combinations and It will be choose 4 out of 8 players.
The formula for Combination is given as follows :-
Hence, Total number of different teams = 70 combinations.