Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 14
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31SOLUTION:
2
The graph of f (x) = x
+ c represents a translation up or down of the parent graph. Since c = 8, the translation is up.
Study Guide and Review - Chapter 9
So, the graph is shifted up 8 units from the parent function.
2
24. f (x) = x
− 3
SOLUTION:
2
The graph of f (x) = x
+ c represents a translation up or down of the parent graph. Since c = –3, the translation is
down. So, the graph is shifted down 3 units from the parent function.
2
25. f (x) = 2x
SOLUTION:
2
2
The graph of f (x) = ax
stretches or compresses the parent graph vertically. Since a = 2, the graph of y = 2x
is the
2
graph of y = x
vertically stretched.
2
26. f (x) = 4x
− 18
SOLUTION:
2
2
The function can be written f (x) = ax
+ c, where a = 4 and c = –18. Since –18 < 0 and
> 1, the graph of y = 4x
2
− 18 is the graph of y = x
vertically stretched and shifted down 18 units.
2
27. f (x) =
x
SOLUTION:
2
2
The graph of f (x) = ax
stretches or compresses the parent graph vertically. Since a =
, the graph of y =
x
is
2
the graph of y = x
vertically compressed.
2
28. f (x) =
x
SOLUTION:
2
2
The graph of f (x) = ax
stretches or compresses the parent graph vertically. ince a =
, the graph of y =
x
is
2
the graph of y = x
vertically compressed.
29. Write an equation for the function shown in the graph.
SOLUTION:
Since the graph is a parabola that has only been translated vertically and stretched vertically, the equation must have
2
the form y = ax
+ c. The y-intercept of the graph is –3, so c = –3. The graph contains the point (1, –1). Use this
point to find the value of a.
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