Plot each point on graph paper.You will a ttach graph paper to Bell Ringer sheet

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