FIND THE EQUATION OF THE IMAGE LINE UNDER THE TRANSLATION WORKSHEET

Find the image equation of the following and give answer in the form of y = f(x).

Problem 1 :

3x + 2y = 8 under (-1, 3)

Solution

Problem 2 :

2x - y = 6 under (-3, 0)

Solution

Problem 3 :

y = x2 under (0, 3)

Solution

Problem 4 :

xy = 5 under (-4, 1)

Solution

Problem 5 :

y = 2x under (0, -3)

Solution

Problem 6 :

y = 3-x under (2, 0)

Solution

Problem 7 :

What single transformation is equivalent to a translation of (2, 1) followed by translation of (3, 4) ?

Solution

Problem 8 :

Complete the missing translation factor :

missing-factor-in-translation-q1

Solution

Problem 9 :

missing-factor-in-translation-q2.png

Solution

Problem 10 :

missing-factor-in-translation-q3.png

Solution

Problem 11 :

missing-factor-in-translation-q4.png

Solution

Answer Key

1)  3x + 2y - 5 = 0

2)  2x - y = 12

3) y = x2 + 3

4)  xy + x - 4y = 9

5)  y = 2x + 3

6)  y = 1/9(3x)

7)  So, the single transformation is translation of (5, 5).

8)  (5, 3)

9)  (4, 6)

10)  moving the point 1 unit right and 3 units up.

11)  there is no horizontal move and vertically moving 1 unit up.

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