1-5 Parent Functions And Transformations Worksheet With Answers Page 10
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18a. Write a greatest integer function f (x) that would
represent the cost for x units of cab fare, where x >
1-5 Parent Functions and Transformations
[update graph]
0. Round to the nearest unit.
b. Graph the function.
48.
c. How would the graph of f (x) change if the fare
PHYSICS The potential energy in joules of a spring
that has been stretched or compressed is given by p
for the first unit increased to $3.70? Graph the new
function.
(x) =
, where c is the spring constant and x is
ANSWER:
the distance from the equilibrium position. When x is
negative, the spring is compressed, and when x is
a.
positive, the spring is stretched.
b.
a. Describe the transformation(s) of the parent
2
2
function f (x) = x
used to graph p (x) = 4.5x
.
b. The graph of the potential energy for a second
spring passes through the point (3, 315). Find the
spring constant for the spring and write the function
for the potential energy.
ANSWER:
a. vertical expansion
2
b. 70; p (x) = 35x
Write and graph the function with the given
c. The graph of f (x) is translated 0.5 unit up.
parent function and characteristics.
49.
f (x) =
; expanded vertically by a factor of 2,
translated 7 units to the left and 5 units up
ANSWER:
g(x) =
+ 5
[update graph]
48.
PHYSICS The potential energy in joules of a spring
50.
f (x) = [[x]]; expanded vertically by a factor of 3;
that has been stretched or compressed is given by p
reflected in the x-axis; translated 4 units down
(x) =
, where c is the spring constant and x is
ANSWER:
the distance from the equilibrium position. When x is
g(x) = −3[[x]] – 4
negative, the spring is compressed, and when x is
positive, the spring is stretched.
a. Describe the transformation(s) of the parent
2
2
function f (x) = x
used to graph p (x) = 4.5x
.
b. The graph of the potential energy for a second
spring passes through the point (3, 315). Find the
PHYSICS The distance an object travels as a
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Page 10
spring constant for the spring and write the function
2
for the potential energy.
function of time is given by f (t) =
at
+ v
t +
0
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