Practice Page
Directions: Read carefully.

1.
A function machine is shown at the right.
If -3 is input for this function, which choice will be the output?

Choose:
-11
8
11
13
functionmachinepractice1

 

 

2.
A function machine is shown at the right. If the output for this function is -16, which choice was the input value?

Choose:
-7
7
-4
4

functionmachinepractice2

 

 

3.
A transformation function machine is shown at the right. If point P(2,-5) is input for this function, which choice will be the output (the image)?
transfunctionmachine2
Choose:
P' (3,11)
P' (1,1)
P' (3,1)
P' (1,-1)

 

 

4.
A transformation function machine is shown at the right. If image M' (-4,2) is the output from this function, which choice were the coordinates of the pre-image (the input)?
transformationfunctionpractice3
Choose:
M (-4,-2)
M (4,2)
M (4,-2)
M (-4,2)

 

 

5.
A translation function is given to be
(x, y) → (x - 5, y + 8).
a) If A(-1,-5), what are the coordinates of A' under this translation?
Choose:
(6,13)
 (-6,3) (-4,3) (-4,13)

b) If B' (6,-2), what are the coordinates of B under this translation?
Choose:
(1,6)
(-1,10)
(11,-10)
(-11,6)

 

 

6.
Under a transformation, A (1,6), B (7,-2), and
C (4,-5) become A' (4,5), B' (10,-3), and
C' (7,-6). Which choice is a possible rule for this transformation function?
Choose:
(x, y) → (x + 3, y - 2)
(x, y) → (x - 3, y + 2)
(x, y) → (x +3, y - 1)
(x, y) → (x - 3, y - 1)

 

 

7.
The quadrilateral seen at the right will be input into a transformation machine that will rotate the quadrilateral counterclockwise 90º.
a) Which rule will be used by the transformation machine?
Choose:
(x, y) → (-y, x)
(x, y) → (y, x)
(x, y) → (-x, -y)
(x, y) → (y, -x)
quadprac7
b) What will be the coordinates of the output (the image)?
Choose:
A' (5,-1), B' (2,-4), C' (-6,-2), D' (-1,5)
A' (-5,1), B' (-2,4), C' (6,2), D' (1,-5)
A' (-1,-5), B' (-4,-2), C' (-2,6), D' (5,1)
A' (5,1), B' (2,4), C' (-6,2), D' (-1,-5)

 

 

8.
A transformation function takes the line segment from point A(5,2) to point B(-3,4) as input. The function rule (x, y) → (y, x) is applied to the segment.
Which of the choices is the output of the endpoints of the segment?
Choose:
A(-2,-5); B(-4,3) A(2,-5); B(4,3)
A(-2,5); B(-4,-3) A(2,5); B(4,-3)

 

 

9.
Which of the following transformation function rules will not produce a rigid transformation?

Choose:
(x, y) → (x + 9, y - 12)
(x, y) → (x + 3.5, y + 1.5)
(x, y) → (-y, x)
(x, y) → (3x, 3y)

 

 

10.
Which of the following transformation functions produces the same result as a point reflection in the origin?

Choose:
A reflection in the line y = x.
A reflection in the line y = -x.
A rotation in the origin of -90º.
A rotation in the origin of 180º.

 

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