Review of Quadratic Equations

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

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

• A
• B
• C
• D

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

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

Match the equation to its description.

• Stretched by 2 and up 4
• Compressed by 2 and up 4
• Stretched by 2 and left 4
• Compressed by 2 and left 4

Which list orders the quadratic functions from narrowest to widest?

• y = x² 
  y = 4x² 
  y = 2x² - 2  
  y = 0.5 x²
• y = 0.5 x²  
   y = x² 
  y = 2x² - 2 
  y = 4x²
• y = 4x² 
  y = 2x² - 2
   y = x² 
  y = 0.5 x²  
•  y = 2x² - 2
   y = 4x²
   y = 0.5x²
   y = x²

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

• x = -5

• x = 1

• x = -1

• x = 3

What is the vertex of the graph?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)