1.) In which Quadrant is the point (x,y) located if x is negative and y is positive?


II
III
IV (MY ANSWER)
I

2.) Point A(5,-10) is reflected over the Y axis. Write the coordinates of A'.

(-8,-10)
(8,10)
(8,-10) MY CHOICE
(-8,10)

3.) At the half-tame show, a marching band marched in formation. The lead drummer started at a point with coordinates (-2,-5) and moved 3 steps up and 1 step right.

a.. Write a rule to describe the translation
b. What were the coordinates of the drummers final position?

#1 QII

#2 Assuming a typo and A=(8,-10), then A'=(-8,-10)
#3 (x,y)->(x+1,y+3)
(-2,-5)->(-1,-2)

Looks like you have some reviewing to do. There are lots of web sites out there which discuss the topic and provide examples.

Steve is corrected

a. The rule to describe the translation is "Move 3 steps up and 1 step right."

b. The drummer's final position can be calculated by applying the rule:
Starting coordinates: (-2, -5)
Move 3 steps up: (-2, -5 + 3) = (-2, -2)
Move 1 step right: (-2 + 1, -2) = (-1, -2)

Therefore, the final coordinates of the drummer's position are (-1, -2).

1.) The point (x,y) is located in Quadrant IV if x is negative and y is positive.

2.) When point A(5,-10) is reflected over the Y axis, the coordinates of A' are (-5, -10).

3a.) The rule to describe the translation is: Move 3 steps up and 1 step right.

3b.) The coordinates of the drummer's final position after moving 3 steps up and 1 step right from (-2,-5) would be (-1, -2).

1.) In which Quadrant is the point (x,y) located if x is negative and y is positive?

To determine the quadrant in which a point is located, we need to consider the signs of x and y.

In this case, x is negative (x < 0) and y is positive (y > 0).

Quadrant II is characterized by having negative x-values and positive y-values. Therefore, the point (x, y) with x < 0 and y > 0 is located in Quadrant II.

So the correct answer is II.

2.) Point A(5,-10) is reflected over the Y-axis. Write the coordinates of A'.
When a point is reflected over the y-axis, the x-coordinate changes its sign, while the y-coordinate remains the same.

Given that point A is (5, -10):

To reflect it over the y-axis, we change the sign of the x-coordinate.

So the x-coordinate of A' becomes -5, and the y-coordinate remains the same.

Therefore, the coordinates of A' are (-5, -10).

3.) At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (-2,-5) and moved 3 steps up and 1 step right.

a) Write a rule to describe the translation.
To describe a translation, we need to specify how the x and y coordinates change.

In this case, the drummer moved 3 steps up, which means the y-coordinate increased by 3. Additionally, the drummer moved 1 step right, which means the x-coordinate increased by 1.

Therefore, the rule to describe this translation is (x, y) -> (x+1, y+3).

b) What were the coordinates of the drummer's final position?
To find the final position, we apply the translation rule to the starting coordinates.

Starting coordinates: (-2,-5)
Applying the translation rule: (-2+1, -5+3)

The final coordinates are (-1, -2).

Therefore, the drummer's final position is (-1, -2).