Download A2 C1 Test Review

Algebra 2
Chapter One Review Name_____________
Period__________
1. What is the domain and range for the
parent function y  x ?
_______________________________
2. What are the coordinates of the
transformed point?
(5,-1); vertical shift 3 units down and
horizontal shift 4 units left
_______________________________
3. What numbers complete the table of the
transformed function?
Reflection across y-axis
X
y
2
-2
1
-1
0
0
-1
1
-2
2
5. The graph of a function passes through
the points (6, 4) and (12, 16). What
are the coordinates of these points
after the function has been compressed
1
vertically by a factor of ?
2
________________________________________
6. Graph the data from the table. Describe
the parent function and the
transformation that best approximates
the data set.
x
5
4
-3
-2
-1
y

1



_______________________________
4. Use a table to perform a horizontal
stretch of y  f(x) by a factor of 2. Graph
using the same coordinate plane as the
original function.
________________________________________
7. Graph the relationship from time to
number of organisms living in a petri
dish during the course of an experiment.
Use the parent function that best
approximates the data to predict when
the number of organisms will reach 26.
Organisms in Petri Dish
x
y
Time (h)
0
1
2
3
4
No. of
Organisms
4
8
11
12
16
(Sketch your own graph)
2
8. What is the parent function? x  2x 1
9. Let g(x) be a horizontal translation 2 units to the right, followed by a reflection over the xaxis of f(x)  3x  4. Write the rule for g(x).
10. Let g(x) be a horizontal compression by a factor of
1
2
of f (x )  x  9 . Write the rule for
3
5
g(x).
11. Let g(x) be the indicated combined transformation of f(x) = x. Write the rule for g(x).
Horizontal shift left 6 units and vertical shift down 6 units
12. Let g(x) be the indicated combined transformation of f(x) = x. Write the rule for g(x).
Vertical shift 4 units up followed by vertical compression by a factor of
3
.
4
13. What transformation describes the equation from its parent equation?
f x3 11
14. What transformation describes the equation from its parent equation?
4
f x
3
________________________________________
Let g(x) be the indicated combined transformation of f (x)  x. Write
the rule for g(x).
15. vertical translation down 2 units followed by a horizontal compression by a factor of
2
5
16. horizontal stretch by a factor of 3.2 followed by a horizontal translation right 3 units
Let g(x) be the indicated transformation of f (x). Write the rule for g(x).
17. Vertical stretch by a factor of 3
1
18. Horizontal compression by a factor of 3
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Holt McDougal Algebra 2