List Quadratic Transformations

Match the equation to its description.

• Vertically stretched by 4 and shifted up 4

• Vertically compressed by 4 and shifted up 4

• Vertically stretched by 4 and shifted right 4

• Vertically compressed by 4 and shifted right 4

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

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

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

How did we transform from y=x^2? y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

What does the quadratic function that has a vertex of (3,4) look like?

• y = a(x+3)² + 4

• y = a(x-3)² + 4

• y = -a(x+3) - 4

• y = a(x-3)² - 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

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