Families of Graphs

If the blue graph is f(x) = x^2, then the red graph must be

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

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

If the blue graph is f(x)=|x|, the red graph must be:

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

Tags

CCSS.HSA.REI.D.10

  Determine the equation for the red graph.

• g(x) = (x - 3)²
• g(x) = x² - 3
• g(x) = x²+3
• g(x) = 3x²

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

 The graph shows the function f(x) = x² in blue and another function g(x) in red. Which of the following could be the equation for g(x)?

• g(x) = 2x²
• g(x) = 0.5x²
• g(x) = x² + 2
• g(x) = (x + 2)²

Describe the transformations from the original parent function f(x) = x².
g(x) = ⅔(x - 7)² 

• Vertical compression of ⅔
  Right 7
• Vertical compression of ⅔
  Left 7
• Vertical stretch of ⅔
  Right 7
• Vertical stretch of ⅔
  Left 7

Describe the transformations from the original parent function f(x) = √x.
g(x) = - √(x) - 2

• Reflect over x-axis
  Down 2
• Reflect over y-axis
  Up 2
• Reflect over x-axis
  Up 2
• Reflect over y-axis
  Down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

• Vertical Stretch of 5
  Down 2
• Vertical Shrink of 5
  Up 2
• Vertical Stretch of 5
  Up 2
• Vertical Shrink of 5
  Down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformations from the original parent function f(x) = x².
f(x) = 4 - x²

• Left 4
  Down 1
• Reflect over x-axis
  Stretch of 4
• Reflect over x-axis
  Up 4
• Left 1
  Down 4

Which equation demonstrates a vertical compression or shrink?

• y = (17/12)x²
• y = 9x²
• y = (4/3)x²
• y = .3x²

Which parent function matches the graph?

• y = |x|
• y = ∛(x)
• y = x²
• y = a⋅b^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7