Quadratic Transformations

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

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.C.7A

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

What are the roots of the function shown?

• (-3, 0) and (1, 0)
• (0, -3) and (1, -4)
• x = 1
• (2, 5) and (-4, 5)

Tags

CCSS.HSF-IF.C.7A

The graph shows the height of a rocket over time. What conclusion can be made about the flight of the rocket?

• The rocket reached its maximum height at 4 seconds.
• At 0 seconds, the rocket was 3 meters off the ground.
• The rocket was in flight for 16 seconds.   
• The maximum height of the rocket was 8 meters.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7