Quadratic Transformations Beginning

• compress

• stretch

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

What is the axis of symmetry in a function?

• The transformation of the graph

• The vertex, represented by (h,k)

• A vertical line that passes through the vertex and divides the parabola in half

• y = h

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

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

Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2

• A

• B

• C

• D

Match the equation to its description.

• Reflected over x and up 4

• Reflected over x and down 4

• Reflected over x and right 4 

• Reflected over x 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, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²