Algebra 1 Module 3 Lessons 20-23

Presentation

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Mathematics

•

9th Grade

•

Medium

•

CCSS

HSF.BF.B.3, HSG.CO.A.2, HSF-IF.C.7A

+16

Standards-aligned

Chaz Ladner

Used 2+ times

FREE Resource

33 Slides • 40 Questions

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!

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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 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

page 425

page 424

page 428

page 429

page 449

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

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) =x²tog(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

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) =x²tog(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

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

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

Multiple Choice

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

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

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