Quadratics Review

• factored form

• axis of symmetry

• standard form

• (0,-24)

• y-intercept

• vertex form

• x=5

Answer explanation

Match the following

• standard form

• vertex form

• factored form

Answer explanation

Match the following

• parabola has NO x-intercepts

• parabola opens DOWN

• parabola has ONE x-intercept

Match the following

• y-intercept

• 
• vertex

• 
• axis of symmetry

• 
• x-intercepts

• 

Answer explanation

Match the line of symmetry with it's x-intercepts

• line of symmetry:
  x=-7

• x-intercepts:
  (-5,0) and (9,0)

• line of symmetry:
  x=-2

• x-intercepts:
  (5,0) and (-9,0)

• line of symmetry:
  x=2

• x-intercepts:
  (5,0) and (9,0)

• line of symmetry:
  x=7

• x-intercepts:
  (-5,0) and (-9,0)

Answer explanation

Match the following domain and range with the graph

• 
• 
• 
• 

Answer explanation

The domain is always all real numbers (unless you are given a real life context that would limit the domain)

The range is either greater than the minimum y-value, or less than the maximum y-value.

Match the following intervals of increase / decrease with the graph

• increasing when x<3

  decreasing when x>3

• 
• increasing when x>3

  decreasing when x<3

• 
• increasing when x<0

  decreasing when x>0

• 
• increasing when x>0

  decreasing when x<0

• 

Answer explanation

this parabola is increasing when the x-values are less than (left of) 2 x<2

this parabola is decreasing when the x-values are more than (right of) 2 x>2

Match the following

• vertex (-3,-4)

• vertex (3,4)

• vertex (-3,4)

• vertex (3,-4)

Answer explanation

• shifts 2 units left, 3 units up, reflect

• shift 2 units left, 3 units up

• shift 2 units right, 3 units up, stretch

• shift 2 units right, 3 units up, reflect

• shift 2 units right, 3 units up

Answer explanation

Look at the vertex.

Complete the square (change to vertex form)

Answer explanation