Algebra 1 Module 3 Lessons 20-23

​Welcome to....

Owl-gebra 1 !!!

Module 3
Lessons 15, 19

Module 3
Lessons 20-23

IXL Mod 3 Lessons 10, 11

IXL Mod 3 Lessons 13, 14

​IXL Mod 3 Les 7, 8, 9

​Owl-some Job !!! Proficiency is our GOAL!

​Get to know your classmates...


What is one of your favorites?



Extra-curricular activity, color, song, TV show, movie, number, game, celebrity, influencer, food/snack, singer/band, etc.

The absolute value parent function is f(x) = |x|

Group 1 - |x + #| and |x - #|
|x| + # and |x| - #

Group 2 - #|x| when # is positive
#|x| when # is negative

Group 3 - #|x| when # is greater than 1
#|x| when 0 < # < 1

Group 4 - |#x| when # is greater than 1
|#x| when # is 0 < # < 1

​page 403

F.BF.B.3 - Identify the effect on the graph of replacing f(x) + k, kf(x), f(kx), and f(x+k) for specific values of k.


F.BF.B.3 - Write formulas of functions for transformations represented graphically.

​Not in workbook

​page 403

​page 404

​page 405

​page 406

​pages 406-407

​page 407

​page 408

​page 408

​page 409

​page 409

Match

Pages 410

Match the correct equations and graphs.

• x-intercept

• y-intercept

• Super Important LEAP class

Problem 11

Problem 10

Problem 9

Problem 12

• Problem 11

• Problem 10

• Problem 9

• Problem 12

​page 425

​F.BF.B.3 - Identify the effect on the graph of replacing f(x) + k, kf(x), f(kx), and f(x+k) for specific values of k.


F.BF.B.3 - Write formulas of functions for transformations represented graphically.

​page 424

​page 428

​page 429

​page 449

​F.BF.B.3 - Identify the effect on the graph of replacing f(x) + k, kf(x), f(kx), and f(x+k) for specific values of k.


F.BF.B.3 - Write formulas of functions for transformations represented graphically.

​Not in workbook

​Not in workbook

​page 451

​page 452

​page 473

F.IF.C.7b - Graph piecewise linear functions, including step functions and absolute value functions.​
F.BF.B.3 - Identify the effect on the graph of replacing f(x) + k, kf(x), f(kx), and f(x+k) for specific values of k.
F.BF.B.3 - Write formulas of functions for transformations represented graphically.

​Not in workbook

​Not in workbook

​Not in workbook

​page 473

y=f(kx)

Horizontal
compression

y=kf(x)

​Your group will create an absolute function.

Choose one group member to type your function and another to unmute and ask a question to the other groups when we return together.

Multiple Choice

Given f(x) = (x-3)² + 5.  

What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Multiple Choice

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical shrink by a factor of 3
• horizontal shift to the left 2 and vertical shrink by a factor of 3

Multiple Choice

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Multiple Choice

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

• The graph of f is shifted 12 units to the right to create the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f is shifted 12 units to the left to create the graph of g.

Multiple Choice

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

• The graph of f is shifted 15 units to the right to create the graph of g.

• The graph of f is shifted 15 units down to create the graph of g.

• The graph of f is shifted 15 units up to create the graph of g.

• The graph of f is shifted 15 units to the left to create the graph of g.

Multiple Choice

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Multiple Choice

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

Multiple Choice

How did the equation shift from the parent function?

y = f(x) + c , where c>0.

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically

• Shifted right "c" units

Multiple Choice

Which transformation on

f(x) = x

is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Multiple Choice

Compare the function g(x)= 0.3x² to the parent function f(x) = x²

g(x) is ________________.

• Wider
• Narrower

Multiple Choice

Compare the function h(x) = 5x² to the parent function f(x) = x²

h(x) is _______________.

• Wider
• Narrower

Multiple Choice

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Multiple Choice

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Multiple Choice

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Multiple Choice

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up
• down

Multiple Choice

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Multiple Choice

Describe the transformations

$$g\left(x+4\right)-6$$  

• 4 Units Left

  6 Units Up

• 4 Units Left

  6 Units Down

• 4 Units Right

  6 Units Up

• 4 Units Right

  6 Units Down

Multiple Choice

Describe the transformations

$$-g\left(x\right)+2$$  

• Reflected across the x-axis

  2 Units Up

• Reflected across the x-axis

  2 Units Down

• Reflected across the y-axis

  2 Units Up

• Reflected across the y-axis

  2 Units Down

Multiple Choice

Describe the transformation

$$h\left(\frac{1}{3}x\right)$$  

• Vertically Stretched by a factor of $$\frac{1}{3}$$  

• Vertically Compressed by a factor of $$\frac{1}{3}$$  

• Horizontally Stretched by a factor of $$\frac{1}{3}$$  

• Horizontally Compressed by a factor of $$\frac{1}{3}$$  

Multiple Choice

Describe the transformations

$$g\left(-x\right)-4$$  

• Reflected across the x-axis

  4 Units Left

• Reflected across the x-axis

  4 Units Down

• Reflected across the y-axis

  4 Units Left

• Reflected across the y-axis

  4 Units Down

Multiple Choice

  . 
The blue is f(x)=|x|, red must be

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

Multiple Choice

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units
• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units
• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units
• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Multiple Choice

Describe the parent graph transformation

• Vertical stretch by 1/2, left 1, down 3

• Vertical stretch by 1/2, right 1, down 3

• Vertical Shrink by 1/2, left 1, down 3

• Vertical Shrink by 1/2, right 1, down 3

Multiple Choice

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Multiple Choice

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Multiple Choice

Match the description to its equation:
moves down 3

• A
• B
• C
• D

Multiple Choice

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Multiple Choice

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Multiple Choice

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up
• down

Multiple Choice

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Multiple Choice

Match the description to its equation.
moves down 3

• A
• B
• C
• D

Multiple Choice

Match the description to its equation.
Stretches by a factor of 3

• A
• B
• C
• D

Multiple Choice

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

Multiple Choice

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

Multiple Choice

What transformations have occurred? 

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Multiple Choice

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Multiple Choice

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Poll

How do you feel about your understanding of today's lesson?

• I understand and can do it on my own!

• I understand pretty good, but I might need a little help.

• I understand a little bit, but I will need a lot of help.

• I'm lost. I don't understand anything.

Word Cloud

Type 1 or 2 words that come to mind when you think about today's lesson.