transformation of parent functions

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

g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).

• f(x) has been reflected over the x-axis.
• f(x) has been reflected over the y-axis.

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

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

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5
• Vertical stretch be a factor of 5
• Vertically shrink by a factor of 1/5
•  Horizontal stretch by a factor of 5

Which equation below is a quadratic function translated up 5 units?

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

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

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

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Tell how the function transformed from y =|x|
y = -2|x|

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Describe the parent graph transformation

• stretch by 1/2, left 1, down 3
• stretch by 1/2, right 1, down 3
• compression by 1/2, left 1, down 3
• compression by 1/2, right 1, down 3

Tags

CCSS.HSF.BF.B.3