Linear Transformations - minus reflections

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