Question

Class Period Sequencing on a Coordinate Plano Instruction: Using the coordinate plane, graph the sequence of transformations, record the coordinates for each transformation, and write the general rule (algebraio expression). Please graph each image a different color on the coordinate plane

Answer 1

Note that:

The first quadrant of a graph belongs to the negative x - axis, and the positive y-axis

Since it is stated that the points of the preimage belong to the first quadrant, we can reasonably selects the values of Points A, B, C, and D that obey this instruction.

1) Coordinates of the preimage in the first quadrant

Let us selects arbitrary coordinates that belong to the first guadrant for the points:

A(-1, 2), that is, x = -1, y = 2

B(-1, 6), that is, x = -1, y = 6

C(-3, 2), that is, x = -3, y = 2

D(-3, 6), that is, x = -3, y = 6

2) Coordinates of the image after translating the object by 7 units left (i.e x -7) and 3 units up (i.e y + 3)

$\begin{gathered} \text{Transformation rule:} \\ T_{}} \end{gathered}$

The preimage is translated 7 units left and 3 units up. The coordinates of the points become:

A' (-1-7, 2+3)

A' (-8, 5)

B' (-1-7, 6 + 3)

B'(-8, 9)

C'(-3-7, 2+3)

C'(-10, 5)

D'(-3-7, 6+3)

D'(-10, 9)

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