﻿?> Translation Rotation Reflection Worksheet - Page 3 | Problems & Solutions

# Translation Rotation Reflection Worksheet - Page 3

Translation Rotation Reflection Worksheet
• Page 3
21.
The graph of $y$ = 2$x$ + 3 is translated 4 units up and 2 units left. What is the slope of the translated graph?
 a. 4 b. 3 c. -3 d. 2

#### Solution:

Equation of the graph y = 2x + 3

If the graph translated 4 units up and 2 units left then the equation of the new graph is (y - 4) = 2(x + 2) + 3.

y = 2x + 11
[Add 4 on each side and simplify.]

Image of the graph after the translation is y = 2x + 11.

Slope of the graph y = 2x + 11 is 2.
[Since the equation is in the form of y = mx + c.]

22.
What type of transformation is illustrated in the figure?

 a. Translation b. Symmetry c. Rotation d. Reflection

#### Solution:

The center of the circle A is moved 5 units down to form the image of the circle with center A'
[From the figure.]

A A'
[Point A goes to point A'.]

So, it is a translation.

23.
Which transformation should be used to change the Figure-1 to Figure-2?

 a. Reflection b. Translation c. Rotation d. Dilation

#### Solution:

Figure-2 represents the mirror image of Figure-1.

The transformation used in the Figure-1 to change as Figure-2 is 'reflection'.

So, the correct choice is reflection.