Question

WITHOUT GRAPHING identify the coordinates of A(-3, 7), B(4, 9), and C(0, -2) after the following transformations. Translation 2 units up and 7 units right. A'( , ), B'( , ), and C'( , ). Reflection over the y-axis. A'( , ), B'( , ), and C'( , ). Rotation 90° clockwise. A'( , ), B'( , ), and C'( , ).

Answer 1

Explanation:

To find the coordinates after a translation of 2 units up and 7 units to the right, we need to add 2 to the x coordinates and add 7 to the y coordinates.

Up (+/add)

Down (-/subtract)

Left (-/subtract)

Right (+/add)

New coordinates after the following translations:

A' (-1,14),

B' (6,16),

C' (2,5)

To get the coordinates after a reflection over the y-axis, we must use the rule of reflection: (x,y)→(−x,y)

This means that only the X coordinate will change.

New coordinates after the following reflection:

A' (1,14),

B' (-6,16),

C' (-2,5)

To get the coordinates after a rotation of 90 degrees clockwise, we must use the rule of rotation: (x,y) becomes (y,−x)

This means the x and y coorindates switch places and the x coordinate becomes negative.

New coordinates after the following rotation:

A' (14,-1),

B' (16,6),

C' (5,2)

I hope this helps ;)