Functions Part 3

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

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

What is a reflection?

• a selfie

• A flipped image

• a shift up, down, left, or right

• a compression or stretch

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• Compressed by a factor of 1/5

• Stretch be a factor of 5

• Shifted 1/5 unit left

• Shifted 1/5 unit up

Tags

CCSS.HSF.BF.B.3

Name the parent function. 

• linear
• constant
• absolute value
• quadratic

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSF-IF.C.7D

• All Real Numbers

What is the equation of the graph below?

• f(x) = I x I + 1
• f(x) = I x I - 1
• f(x) = -I x I + 1
• f(x) = -I x I - 1

Tags

CCSS.HSF-IF.C.7D