7.3 (9.3) Quadratic Transformations a, k

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

Which quadratic function has a vertex below the origin and opens upward?

• y = -x² + 3
• y = -x² – 1 
• y = x² + 5
• y = x² – 2 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following functions of the form
 y = ax² produces the widest graph and opens down?

• y = 5x²
• y = -5x²
• y = -1/5x²
• y = 1/5x²

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the equation to its description.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7