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On the same graph

Graph f(x) = x   2          Graph f(x) = ­ x2
y = x2   y = ­x2
y =




      1



y =
In general the following statements are true for each 
quadratic function of the type y = ax2:

1. Axis of symmetry is the y­axis, its equation is x = 0.
 2. Coordinates of the vertex are (0, 0).

 3. If          graph opens upward.
    If                       , graph opens downward
4. If                      , graph is narrower than y = x2 (stretch)
    If                      , graph is wider than y = x2 (shrunk)

5. If a > 0, the minimum value of y is 0. 
    If a < 0, the maximum value of y is 0.
Exercise 2

Omit #9, and #10

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