G.CO.A.2 WORKSHEET #1 – geometrycommoncore
NAME: ___________________________
1. Given functions, f ( x)  2 x 1, g ( x)   x2  2 x , and h( x) 
a) f(-5) = ______
b) g(-3) = ______
d) g(1) = ______
e) f(
1
2x
, determine value of the function for:
5
c) h(20) = ______
3
) = ______
4
4
f) h( )= ______
5
x
2. Given functions, r ( x)  , s( x)  4 x 2 , and t ( x)  4 x  8 , determine value of the function for:
3
a) r ( x)   2
x = ______
b) s( x)  64
d) s( x) 12
x = ______
e) r ( x) 
2
5
x = ______
c) t ( x)  28
x = ______
x = ______
f) t ( x)  4
x = ______
3. Use coordinate rule, T (x,y) ------ > (x + 5, y – 1) to determine the missing coordinates.
a) A (-4,5)
A ‘ (____ , ____)
b) B (____ , ____)
B’ (-2,6)
4
c) C (-6, )
5
C ‘ (____ , ____)
4. Use coordinate rule, G (x,y) ------ > (x2, 2y), to determine the missing coordinates.
a) A (-4,5)
A ‘ (____ , ____)
b) B (-2,6)
B’ (____ , ____)
c) C (____ , ____)
C’ (16,-8)
G.CO.A.2 WORKSHEET #1 – geometrycommoncore
2
5. Using the function machine to determine the missing output or input values.
2
5
a) Input = -6
b) Input =
Output = ________
Output = ________
c) Input = ________
d) Input = ________
Output = -47
Output = 21
6. Determine the rule of the function machine.
First Input
Second Input
Third Input
Fourth Input
What is the rule
for this function
machine?
7. Determine three different function machine rules for the given input/output.
a) Possible Rule #1
b) Possible Rule #2
c) Possible Rule #3
8. Use the given coordinate rules to solve missing coordinates.
a) T (x,y) ------ > (x, y + 7)
A (-4,9)
A’ (_____ , _____)
B (_____ , _____)
B’ (5,0)
b) S (x,y) ------ > (-y, x)
A (-4,9)
A’ (_____ , _____)
B (_____ , _____)
B’ (9,7)
c) F (x,y) ------ > (5x, 3y)
A (-4,9)
A’ (_____ , _____)
B (_____ , _____)
B’ (-5,12)
d) G (x,y) ------ > (-x, -3x)
A (-4,9)
A’ (_____ , _____)
B (_____ , _____)
B’ (-8,-24)
e) H (x,y) ------ > (2x - 1, y - 3) A (-4,9)
A’ (_____ , _____)
B (_____ , _____)
B’ (31,15)
f) P (x,y) ------ > (x + 3, 2y)
A’ (_____ , _____)
B (_____ , _____)
B’ (5,8)
A (-4,9)
9. Write out the English translation for the following coordinate rule.
F (x,y) ------ > (x - 4, 2y)
10. Complete the Analogy.
Coordinate Rule F __________________________________________________
Input IS TO Output
AS
Pre-Image IS TO ______________.