Quadratic Transformations

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

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

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

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

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

Tags

CCSS.HSF.BF.B.3

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• horizontal shift right 4 units
• vertical shift up 4 units
• horizontal shift left 4 units
• vertical shift down 4 units

How is the graph of y = x² different from the graph of
y = 1/3x²?

• The graph of
  y = 1/3x² is shifted up.
• The graph of
  y = 1/3x² is shifted down.
• The graph of
  y = 1/3x² is wider.
• The graph of
  y = 1/3x² is narrower.

Tags

CCSS.HSF.BF.B.3

How does the graph of y = x ² - 7  compare to the parent function y = x²

• y = x ² - 7   is wider than  y = x²
• y = x ² - 7   is narrower than  
  y = x²
• y = x ² - 7   is shifted down 7 spaces from  y = x²
• y = x ² - 7   is shifted up 7 spaces from  y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which parent function matches the graph?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4