Linear Transformations - minus reflections

Presentation

•

Mathematics

•

12th Grade

•

Medium

Jenifer Freeman

Used 2+ times

FREE Resource

10 Slides • 25 Questions

Multiple Choice

Describe the transformations from the parent function.

Flatter/Vertical compress and down 3 units

Flatter/Vertical compress and up 3 units

Steeper/Vertical stretch and down 3 units

Steeper/Vertical stretch and up 3 units

Multiple Choice

Which transformation will occur if f(x) = x is replaced with 2f(x)?

Vertical stretch by a factor of 2

Vertical compression by a factor of 1/2

Vertical translation up by 2 units.

Horizontal compression by a factor of 1/2

Multiple Choice

Describe the transformation from the parent function.

Shift up 1/2 units

Steeper/Vertical stretch

Reflection across the y-axis

Flatter/Vertical compress

Multiple Choice

A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?

The graph of f is steeper than the graph of g.

The graph of f is less steep than the graph of g.

The graph of f is shifted 2 units up to create the graph of g.

The graph of f is shifted 2 units to the right to create the graph of g.

Multiple Choice

Which of the following represents horizontal stretches and compressions?

f(x)+d

f(x-c)

f(bx)

af(x)

Multiple Choice

what is this transformation f(3x)

Horizontal stretch by 3

Horizontal stretch by 1/3

Horizontal Compression by 3

Horizontal compression by 3

Multiple Choice

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

Vertical stretch and shift up 11

Horizontal shrink and shift down 11

Vertical shrink and shift up 11

Horizontal stretch and shift down 11

Stretches and Shrinks Linear Functions

Algebra 1

Mrs. LaGrange

Multiple Choice

Describe the transformation:

$g(x)=\frac{1}{5}f\left(x\right)$

Vertical stretch of 5

Vertical compression of 1/5

Horizontal stretch of 5

Horizontal compression of 1/5

Multiple Choice

Describe the transformation:

$g(x)=f\left(4x\right)$

Vertical stretch of 4

Vertical compression of 1/4

Horizontal stretch of 4

Horizontal compression of 1/4

Multiple Choice

Describe the transformation:

$g(x)=f\left(\frac{1}{3}x\right)$

Vertical stretch of 3

Vertical compression of 1/3

Horizontal stretch of 3

Horizontal compression of 1/3

Multiple Choice

Describe the transformation:

g(x) = 2f(x)

Vertical stretch of 2

Vertical compression of 1/2

Horizontal stretch of 2

Horizontal compression of 1/2

Multiple Choice

Describe the transformation:

$g(x)=6f\left(x\right)+1$

Vertical stretch of 6 ; move 1 to the right

Vertical compression of 1/6 ; move 1 down

Vertical stretch of 6 ; move 1 up

Vertical compression of 1/6 ; move 1 to the left

Multiple Choice

Describe the transformation:

$g(x)=9f\left(\frac{1}{2}x\right)$

Vertical stretch of 9 ; Horizontal stretch of 2

Vertical compression of 1/9 ; Horizontal compression of 1/2

Vertical stretch of 9 ; Horizontal compression of 1/2

Vertical compression of 1/9 ; Horizontal stretch of 2

Multiple Choice

Describe the transformation:

$g(x)=\frac{1}{2}f\left(7x\right)$

Vertical stretch of 2 ; Horizontal stretch of 7

Vertical compression of 1/2 ; Horizontal compression of 1/7

Vertical stretch of 2 ; Horizontal compression of 1/7

Vertical compression of 1/2 ; Horizontal stretch of 7

Summary:

Multiple Choice

Describe the transformation from the parent function: y = x + 10

Steeper by 10

Shift up 10

Shift down 10

Flatter by 10

Multiple Choice

Describe the transformation from the parent function.

Reflection

Vertical stretch

Shift up 2 units

Shift down 2 units

Multiple Choice

Describe the transformation from the parent function.

Flatter/Vertical compress

Steeper/Vertical stretch

Shift up 2 units

Shift down 2 units

Multiple Choice

Describe the transformation from the parent function.

Flatter/Vertical compress

Steeper/Vertical stretch

Shift up 3 units

Shift down 3 units

Multiple Choice

Describe the transformation from the parent function: y = 3x + 5

Steeper; Shift up 5 units

Steeper; Shift down 5 units

Flatter; Shift up 5 units

Flatter; Shift down 5 units

Multiple Choice

How does the graph of g(x) compare to f(x)?

g(x) is steeper and shifted down from f(x)

g(x) is steeper and shifted up from f(x)

g(x) is flatter and shifted down from f(x)

g(x) is flatter and shifted up from f(x)

Multiple Choice

Which of the following g(x) equations is vertically stretched and shifted down from f(x) = x?

g(x) = 2 f(x) + 6

g(x) = 1/2 f(x) + 6

g(x) = 2 f(x) - 6

g(x) = 1/2 f(x) - 6

Multiple Choice

If you are given the equation y = 5x + 1. Which of the following equations is a vertical stretch?

y = 2x + 9

y = 7x + 1

y = 2x - 1

y = 2x + 1

Multiple Choice

Which of the following equations has a slope of 0?

y = 4x

x = 4

y = 4

y = x

Multiple Choice

Given the equation y - 3 = 4 (x - 1), which point does the line go through?

(3, 1)

(1, 3)

(-3, -1)

(-1, -3)

Multiple Choice

What is the equation of the line that goes through (2, -5) and has an undefined slope?

x = -5

x = 2

y = 2

y = -5

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