Module #13 of 15 Transformations 9th Grade Math
Module #13 of 15 Transformations 9th Grade Math
Module #13 of 15 Transformations 9th Grade Math
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Student Name:_______________<br />
<strong>Math</strong> Teacher:<br />
HIP Manager:<br />
__________________<br />
__________________<br />
<strong>Module</strong> <strong>#13</strong> <strong>of</strong> <strong>15</strong><br />
<strong>Transformations</strong><br />
9 th <strong>Grade</strong> <strong>Math</strong><br />
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<strong>9th</strong><br />
P<br />
assing TAKS<br />
MOD #14<br />
2
VOCABULARY ALERT<br />
POP<br />
Rotation<br />
Reflection<br />
Translation<br />
Dilation<br />
Parent Graph<br />
4
VOCABULARY ALERT<br />
POP<br />
Rotation- a rotation is a<br />
transformation in a plane or<br />
in space that describes the<br />
motion <strong>of</strong> a shape around a<br />
fixed point.<br />
5
VOCABULARY ALERT<br />
Translation- Translation is changing the<br />
position <strong>of</strong> a parent graph by shifting or<br />
sliding it up , down, right, or left.<br />
6
VOCABULARY ALERT<br />
Reflection(In TAKS context)-<br />
The image <strong>of</strong> a parent function reflected<br />
over the X (horizontal) axis or the Y<br />
(vertical) axis. The reflection has the same<br />
size as the original image.<br />
7
VOCABULARY ALERT<br />
Dilation- Dilation is an enlargement or<br />
reduction in size <strong>of</strong> a parent graph using a<br />
scale factor. The larger the leading<br />
coefficient <strong>of</strong> the equations the narrower<br />
their graphs will be.<br />
8
VOCABULARY ALERT<br />
POP<br />
A Parent graph is a graph<br />
in it’s original position<br />
and shape.<br />
Transformation takes place<br />
when the shape <strong>of</strong> a parent<br />
graph is altered or it’s<br />
position changes.<br />
9
In the problem above the graph has been shifted 7 units down because<br />
“5 “ (y-intercept) has been replaced with “-2” which is 7 units lower or<br />
less than 5.<br />
By subtracting -2 – 5 we get -7 which results in answer “D” , 7 units<br />
down.<br />
18
The original graph intersects<br />
the Y-axis at 1.<br />
The graph is to be translated(<br />
shifted) 7 units down ( 1 – 7 = -<br />
6).<br />
So the new graph should<br />
intersect the Y-axis at -6, which<br />
is answer choice “D”.<br />
20
POP<br />
LOCK<br />
AND<br />
DROP<br />
Answer the following questions and your<br />
math teacher will check them for you.<br />
21
POP<br />
LOCK<br />
AND<br />
DROP<br />
Answer the following questions and your<br />
math teacher will check them for you.<br />
22
When the leading<br />
coefficient ( in this<br />
case -4) is<br />
multiplied by a<br />
negative 1( which<br />
results in 4 in this<br />
case) the graph<br />
will reflect across<br />
the x-axis.<br />
Therefore the<br />
answer is choice<br />
“B”.<br />
28
As “a” which is called the coefficient <strong>of</strong> “x” increases in value<br />
the graph becomes narrower. Since “a” is increasing from 1 to<br />
6 the graph is going to be narrower . The answer is “C”.<br />
34
The answer is NOT<br />
”A” or “B” because<br />
that would mean<br />
adding or<br />
subtracting 7 to or<br />
from the original<br />
equation. Remember,<br />
As “a” which is<br />
called the coefficient<br />
<strong>of</strong> the variable<br />
increases in value<br />
the graph becomes<br />
narrower. Therefore<br />
the answer is “D”.<br />
36
What is the length <strong>of</strong> OP?<br />
38
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41
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