USING TRANSLATION VECTORS TO TRANSFORM FIGURES WORKSHEET

Problem 1 :

Find the image equation when 3x + 2y = 8 is translated under the vector <-1, 3>

Solution

Problem 2 :

Find the image equation when 2x - y = 6 is translated under the vector <-3, 0>

Solution

Problem 3 :

Find the image equation when y = x² is translated under the vector <0, 3>

Solution

Problem 4 :

Find the image equation when xy  =  -8 is translated under the vector <3, -2>

Solution

Problem 5 :

Find the image equation when y = 2^x is translated under the vector <0, -3>

Solution

Problem 6 :

Triangle OAB with vertices O(0, 0), A(2, 3) and B(-1, 2) is translated under the vector <3, 2>. Find the image vertices and illustrate the object and the image.

Solution

Problem 7 :

Find the image equation when 2x - 3y = 6 is translated under the vector <-1, 2>

Solution

Problem 8 :

Find the image of y = 2x² under a translation with vector <3, -2>.

Solution

Problem 9 :

Find the image of xy  =  5 under a translation with vector <-4, 1>

Solution

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

Problem 1 :

Triangle OAB with vertices O(0, 0), A(2, 3) and B(-1, 2) is translated under the vector <3, 2>. Find the image vertices and illustrate the object and the image.

Solution

Problem 2 :

Find the image equation when 2x - 3y = 6 is translated under the vector <-1, 2>.

Solution

Problem 3 :

Find the image of y = 2x² under a translation with vector <3, -2>.

Solution

Problem 4 :

Find the image of xy  =  5 under a translation with vector <-4, 1>.

Solution

Problem 5 :

Draw the preimage and image of each triangle under a translation along (-4, 1).

Solution

Problem 6 :

Triangle with coordinates 

A (2, 4) B (1, 2) and C (4, 2).

Solution

Problem 7 :

A translation along the vector 〈−2, 7〉 maps point P to point Q. The coordinates of point Q are (4, −1) . What are the coordinates of point P? Explain your reasoning.

Solution

Problem 8 :

Find the coordinates of the image under the transformation ⟨6, -11⟩.

a)  (x, y) ==>         b) (2, -3) ==>

c)  (3, 1) ==>         d)  (4, -3) ==>

Solution

Problem 1 :

Find the image equation when 3x + 2y = 8 is translated under the vector <-1, 3>.

Solution

Problem 2 :

Find the image equation when 2x - y = 6 is translated under the vector <-3, 0>.

Solution

Problem 3 :

Find the image equation when y  =  x² is translated under the vector <0, 3>.

Solution

Problem 4 :

Find the image equation when xy  =  -8 is translated under the vector <3, -2>.

Solution

Problem 5 :

Find the image equation when y  =  2^x is translated under the vector <0, -3>.

Solution

Problem 6 :

A trapezoid is translated 7 units to the right and then reflected across the x-axis.

Which ordered pair describes the image of point A ?

a)  (1, 2)    b) (1, -2)    c)  (-1, 2)     d)  (-6, -5)

Solution

Problem 7 :

Which expression describes the translation of a point from (-3, 4) to (4, -1).

a) 7 units left and 5 units up.

b)  7 units right and 5 units up.

c)  7 units left and 5 units down

d)  7 units right and 5 units down.

Solution

Problem 8 :

The vertices of triangle ABC are (2, 1), B (3, 4) and C(1, 3). If triangle is translated 1 unit down and 3 units left to create triangle DEF, what are the coordinated of triangle DEF?

Solution

Problem 1 :

Describe the translation in the coordinate plane shown below.

Solution

Problem 2 :

Sketch a triangle with vertices P(3, -1), Q (1, 1) and R(3, 5). Then sketch the image of the triangle after a translation to the right by 4 units and up by 2 units

Solution

Problem 3 :

Sketch a triangle with vertices A(- 1, - 3), B(1, - 1), and C( - 1, 0). Then sketch the image of the triangle after the translation (x, y) ----> (x - 3, y + 4). 

Solution

Problem 4 :

In the diagram shown below, QRST maps onto Q'R'S'T' by a translation. Write the component form of the vector that can be used to describe the translation.

Solution

Problem 5 :

Graph the image of the figure using the transformation given.

translation: 5 units right and 1 unit up

Solution

Problem 6 :

translation: 1 unit left and 2 units up

Solution

Example 7 :

Write a rule to describe each transformation.

Solution

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.