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 y = ax2
 a > 1, vertical
stretch
 0 < a < 1, vertical
shrink
 a < -1, vertical
stretch with a
reflection over the
x-axis
 -1< a < 0, vertical
shrink with a
reflection over the
x-axis
 y = (x - h)2 + k
 VERTEX FORM
 h > 0, moves the
graph h space to the
right
 h < 0, moves the
graph h spaces to
the left
 k > 0, moves the
graph k space up
 k < 0, moves the
graph k space down

 The y-coordinate
of the vertex is
the minimum
value of the
function if a > 0
 The y-coordinate
of the vertex, is
the maximum
value of the
function if a < 0
 Find the vertex
 Find the axis of symmetry
 Decide whether it opens up or down
 Find one point on the parabola
 Find another point using the axis of
symmetry and your point
 Complete handout.
 Pages 638-639 #1-35 odd

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10.1 10.2

  • 1.
  • 2.  y = ax2  a > 1, vertical stretch  0 < a < 1, vertical shrink  a < -1, vertical stretch with a reflection over the x-axis  -1< a < 0, vertical shrink with a reflection over the x-axis  y = (x - h)2 + k  VERTEX FORM  h > 0, moves the graph h space to the right  h < 0, moves the graph h spaces to the left  k > 0, moves the graph k space up  k < 0, moves the graph k space down
  • 3.
  • 4.
  • 5.  The y-coordinate of the vertex is the minimum value of the function if a > 0  The y-coordinate of the vertex, is the maximum value of the function if a < 0
  • 6.  Find the vertex  Find the axis of symmetry  Decide whether it opens up or down  Find one point on the parabola  Find another point using the axis of symmetry and your point
  • 7.  Complete handout.  Pages 638-639 #1-35 odd