Narrower or Wider Quadratic

In the vertex form f(x) = a(x - h)² + k , what does the 'a' value do?

• Shifts the function left or right

• Changing 'a' value has no affect on the parent function

• Vertical stretch or compression

• Shifts the function up or down

Given f(x) = ax² , if a > 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched

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

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

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

Which quadratic is the widest?

• y = -3/4x²+4x+1

• y=2x²-3x+7

• y=-4x²+9

• y=7/5x²-5x+1

Which of the following quadratic functions has the WIDEST graph?

• f(x)= -3x²

• h(x)= 2x²

• g(x)= ¼x²  

• p(x)= 4x²

Put in order from widest narrowest?

• y = -9x²; y = 6x² + 4; y = x²; y = -0.5x²; y = 0.1x² + 3

• y = -9x²; y = -0.5x²; y = 0.1x² + 3; y = x²; y = 6x² + 4

• y = x²; y = 0.1x² + 3; y = -0.5x²; y = 6x² + 4; y = -9x²;

• y = 0.1x² + 3; y = -0.5x²; y = x²; y = 6x² + 4; y = -9x²;

• y = 0.1x² + 3; y = -0.5x²; y = x²; y = -9x²; y = 6x² + 4

Which quadratic would be the narrowest?

Determine if the graph of the function

y = −6(x + 19)² + 11 is wider, congruent, or narrower than the parent function.

• Wider

• Congruent

• Narrower