Transformation Rules
This is the algebraic notation for a translation moving down and right.
What is (x+a, y-b)?
Preimage point: (2, 4)
Translate 3 units down and 7 units left
What is (-5, 1)?
2.5(n + 4) = n + 1.5n - 7
No solution
2(3a + 5) + 2(a + 7) = 4(a + 6)
What is a = 0?
-3(2x - 5) > 9
What is x > -1?
This is the algebraic notation for a dilation with a scale factor of 1/3.
What is (1/3x, 1/3y)?
Preimage point: (-20, 16)
Dilate with a scale factor of 1/4
What is (-5, 4)?
2(3x + 4.5) = 6x + 9
Infinite Solutions
-3(x + 0.6) = 6(x + 2.4)
What is x = -1.8?
6x - 7 < 2x + 9
What is x < 4?
This is the algebraic notation of a reflection across the x-axis.
What is (x, -y)?
Preimage point: (7, -2)
Reflection about the y-axis
What is (-7, -2)?
2.5(n + 4) = 2.5n + 0.5n
One Solution
0.4(p - 5) = 0.6p + 2
What is p = -20?
4 - 1/2x < 10
What is x > 12?
This is the algebraic notation for a 90 degree counterclockwise rotation about the origin.
What is (-y, x)?
Preimage point: (-4, -3)
180 degree rotation about the origin and translate 4 units up
What is (4, 7)?
2/3(6x + 9) − 5 = 4x + 11
No Solution
1/4(n + 7) = 5n - 7n + 1
What is n = -1/3?
12 > -2x + 4
What is x > -4?
This is the algebraic notation for a dilation of 2 and a translation of 8 units up and 4 units left.
What is (2x-4, 2y+8)?
Preimage point: (7, -9)
Dilate with a scale factor of 3 and rotate 90 degrees clockwise
What is (-27, -21)?
3/4(x - 8) + 5 = 2x - 7/2
One Solution
1/2d + 5/8 = 3/8d - 11/16
What is d = 3/2?
3/4x + 2 > 1/2x + 7
What is x > 20?