plot each point on graph paper.you will a ttach graph paper to bell ringer sheet
DESCRIPTION
Bell Ringer. Plot each point on graph paper.You will a ttach graph paper to Bell Ringer sheet . 1. A (0,0) 2. B (5,0) 3. C (–5,0) 4 . D (0,5) 5. E (0, –5). D. Domain ? Range ? Intercepts. C. A. B. E. - PowerPoint PPT PresentationTRANSCRIPT
Plot each point ongraph paper.You will attach graph paper to Bell Ringer sheet.
1. A(0,0)
2. B(5,0)
3. C(–5,0)
4. D(0,5)
5. E(0, –5)
A BC
D
E
Bell Ringer
Domain ?Range ?
Intercepts
Chapter 1
(1) Apply transformations to different families of functions. (2) Fit data to
linear models.
Holt McDougal Common Core Edition
1.1 1.4
F-IF.6A-REI.1F-BF.3
Chapter 1 Vocabulary:suggestion: pick one color per word and definition.
CorrelationSlope
ReflectionRegression
StretchTransformation vs. Translation
Parent Function
Due: 28th , Test 1
Date
Copy words for Bell
Ringer on Bell Ringer
sheet
Slope tree
posi
tive
negativ
eu
nd
efi
ne
d
Perform the given translation on the point (–3, 4). Give the coordinates of the translated point.
Example: Translating Points
5 units right
Translating (–3, 4) 5 unitsright results in the point (2, 4).
(2, 4)(-3, 4)
? Slope ?? Domain ?? Range ?
2 units left and 3 units down
Translating (–3, 4) 2 unitsleft and 3 units down resultsin the point (–5, 1).
(–3, 4)
(–5, 1)
2 units
3 units
Perform the given translation on the point (–3, 4). Give the coordinates of the translated point.
Example: Translating Points
Example: Translation
4 units right
Perform the given translation on the point (–1, 3). Give the coordinates of the translated point.
Translating (–1, 3) 4 unitsright results in the point (3, 3).
(–1, 3)
(3, 3)
? Slope ?
Example: Translation
1 unit left and 2 units down
Perform the given translation on the point (–1, 3). Give the coordinates of the translated point.
Translating (–1, 3) 1 unit left and 2 units down resultsin the point (–2, 1).
(–1, 3)
(–2, 1)
1 unit
2 units
? Slope ?
Notice that when you translate left or right, the x-coordinate changes,
and when you translate up or down, the y-coordinate changes.
Translations
Horizontal Translation Vertical Translation
Translations
Horizontal Translation Vertical Translation
Bell RingerUsing complete sentence,
correlate the “h” and “k” to “x” and “y”.
You can transform a function by
transforming its ordered pairs. When a
function is translated or reflected, the
original graph and the graph of the
transformation are congruent because the
size and shape of the graphs are the same.
vocabulary
ACT
Activity Start 4 page packet
You need to be responsible and keep up with itWe will work on each day
It is not homework yet
Exit QuestionYou graphed y=x on a graphing calculator by
pressing y= and entering y1=x. Then pressed graph.
Then you entered and graphed y2 = x + 5. Next you entered and graphed y3= x – 5.
Exit Question: How does the term congruent explain how a change in the value of k in the equation y=x + k affects the equation’s graph.
Bell RingerOn graph paper. You may use the same piece from yesterday’s Bell Ringer.
Perform the given translation on the point (-3, 4). Indicate the coordinates of the translated point. This is two different translations.
a) 5 units right
b) 2 unit left and 2 units down
Reflections
Reflection Across y-axis Reflection Across x-axis
Example
translation 2 units upIdentify important points from the graph and make a table.
The entire graph shifts 2 units up.
Add 2 to each y-coordinate.
5 -3 -3 + 2 = -1
-5 -3 -3 + 2 = -1
0 -2 -2 + 2 = 0
-2 0 0 + 2 = 2
2 0 0 + 2 = 2
X Y Y + 2
? (green)Slope(s)
?
Team of no more than 2; winning group gets prize!
Up is K valueK is your Y
Example
translation 3 units right
Use a table to perform the transformation of y = f(x). Use the same coordinate plane as the original function.
The entire graph shifts 3 units right.
Add 3 to each x-coordinate.
x y x + 3
–2 4 –2 + 3 = 1
–1 0 –1 + 3 = 2
0 2 0 + 3 = 3
1) What axis are you changing2) Id key points on original
graph3) Plot new ordered pairs
steps
What did you do?What happened?
reflection across x-axis
x y –y
–2 4 –4
–1 0 0
0 2 –2
2 2 –2
f
Multiply each y-coordinate by –1.
The entire graph flips across the x-axis.
Example
Use a table to perform the transformation of y = f(x). Use the same coordinate plane as the original function.
Steps??
Example Business Application
The graph shows the cost of painting based on the number of cans of paint used. Sketch a graph to represent the cost of a can of paint doubling, and identify the transformation of the original graph that it represents.
If the cost of painting is based on the number of cans of paint used and the cost of a can of paint doubles, the cost of painting also doubles. This represents a vertical stretch by a factor of 2.
Read only
Application: Chess Translation, one per team of two
homework: finish packet, due tomorrow
Exit Question: complete on graph paper.Perform each transformation of y = f(x). Use the same coordinate plane as the original function. Copy the original function. Create a table. You can do all on graph paper
a) Translate 2 units up
b) Reflection across x axis