Quadratic Transformations

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 is the parent function of a parabola?

• y = x²

• y = 2x² + 3

• y = -x² -4

• y = -x²

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)² + 12

• up 5

• down 5

• left 5

• right 5

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up

• down

What equation goes with this graph?

Identify what function goes with the graph?

• 
• 
• 
• 

Tags

A.7.C

• The graph of g is a reflection of the graph of f across the x-axis.

• The vertex of the graph of g is 9 unites to the right of the vertex of graph of f.

• The graph of g is a reflection of the graph of f across the y-axis.

• The y-intercept of the graph of g is 9 unites below the y-intercept of the graph of f.

Tags

A.7.C

Tags

A.7.C