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I wondered if you could teach me how to do this so I can do these problems independently.

I wondered if you could teach me how to do this so I can do these problems independently-example-1
User Wonglik
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1 Answer

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Answer

a)

A' (-2, 6)

B' (7, 3)

C' (4, 0)

b)

D' (3, 3)

E' (-5, 0)

F' (2, 2)

c)

G' (3, 1)

H' (0, 4)

P' (-2, -3)

Step-by-step explanation

For the coordinate (x, y)

A transformation to the right adds that number of units to the x-coordinate.

A transformation to the left subtracts that number of units from the x-coordinate.

A transformation up adds that number of units to the y-coordinate.

A transformation down subtracts that number of units from the y-coordinate.

For this question,

a) The coordinates are translated to the right by 4 units and upwards by 1 unit

That is,

(x, y) = (x + 4, y + 1)

A (-6, 5) = A' (-6 + 4, 5 + 1) = A' (-2, 6)

B (3, 2) = B' (3 + 4, 2 + 1) = B' (7, 3)

C (0, -1) = C' (0 + 4, -1 + 1) = C' (4, 0)

When a given point with coordinates P (x, y) is reflected over the y-axis, the y-coordinate remains the same and the x-coordinate takes up a negative in front of it. That is, P (x, y) changes after being reflected across the y-axis in this way

P (x, y) = P' (-x, y)

For this question,

b) The coordinates are reflected over the y-axis

D (-3, 3) = D' (3, 3)

E (5, 0) = E' (-5, 0)

F (-2, 2) = F' (2, 2)

In transforming a point (x, y) by rotating it 90 degrees clockwise, the new coordinates are given as (y, -x). That is, we change the coordinates and then add minus to the x, which is now the y-coordinate.

P (x, y) = P' (y, -x)

For this question,

c) The coordinates are rotated about (0, 0) 90 degrees clockwise.

G (-1, 3) = G' (3, 1)

H (-4, 0) = H' (0, 4)

I (3, -2) = P' (-2, -3)

Hope this Helps!!!

User Kanlukasz
by
8.9k points

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