Function Transformations

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4
• Right 4
• Up 4
• Down 4

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4
• Horz shift left 2    Vert shift up 4
• Horz shift right 2      Vert shift down 4
• Horz shift left 2      Vert shift up 4

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Which of the following transformations are present?
f(3x - 1) + 2

• Stretch
• Compression
• Neither

Describe the transformation of y = f(x) for the new function
 y = - f(x)

• The graph of y = f(x) was flipped vertically across the x axis. 
• The graph of y = f(x) was flipped horizontally across the y axis.
• The graph of y = f(x) was shifted down.
• The graph of y = f(x) was shifted up

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

• Shifted up 5 units
  Shifted right 3 units
  Stretched vertically by a factor of 3
• Shifted up 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3
• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3
• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 1/3

Which equation represents a translation 8 units down from the parent function  $y=x^2$  ?

• $y=x^2+8$

• $y=x^2-8$

• $y=\left(x+8\right)^2$

• $y=\left(x-8\right)^2$

Which of the following represents a translation 5 units up from the parent quadratic function?

• y = x² - 5

• y = x² + 5

• y = (x - 5)²

• y = (x + 5)²

Given g(x) is a transformation of f(x). Which of the following represents a vertical stretch and a translation to the right?

• $g\left(x\right)=5f\left(x+1\right)$

• $g\left(x\right)=-\frac{1}{3}f\left(x-2\right)$

• $g\left(x\right)=\frac{4}{3}f\left(x-5\right)$
  

• $g\left(x\right)=\frac{4}{5}f\left(x+2\right)$