Transformations of quadratic graphs

Which describes the transformation of the graph of f(x) = x²  to the graph of  g(x) = -4x²

• Reflected, narrower
• reflected, wider
• shifted down 4 units
• shifted up 4 units

Tags

CCSS.HSF.BF.B.3

How do the graphs of the functions
f(x) = x² + 9 and
g(x) = x² – 11 relate to each other?

• The graph of f(x) is 2 units above the graph of g(x).
• The graph of f(x) is 20 units above the graph of g(x).
• The graph of f(x) is 2 units to the right the graph of g(x).
• The graph of f(x) is 20 units to the right the graph of g(x).

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Which of the following functions of the form
y = ax² produces the narrowest graph   and opens upward?

• y = 1/4x²
• y = -4x²
• y = -1/4x²
• y = 4x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

How would the graph of the function y = x² + 4 be affected if the function were   changed to y = x² + 1?

• The graph would shift 3 units up.   
• The graph would shift 3 units down.
• The graph would shift 3 units right.   
• The graph would shift 3 units right.

Tags

CCSS.HSF.BF.B.3

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Match the description to its equation.
Moves up 2
Moves left 4

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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