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Algebra Lesson 10-2: Graph y = ax2 + bx + c
Learning Target: Given functions in the form: y = ax2 + bx + c, we will know the vertex, axis of symmetry, y-intercept, and shape of the graph.
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The graph of is a ________________ that opens up if _______ and opens down if _______. The parabola is wider when ___________________ and narrower when ______________________. The axis of symmetry is always: ________________. The y-intercept is always ( _____ , _____ ). The vertex is always located at x = ___________. The vertex is the minimum point when ________ and it’s the maximum point when _______.
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Example 1: Consider the function: y = 3x2 + 12x – 8 Vertex: ( _____ , _____ ) Axis of Symmetry: ___________ y-intercept: ( _____ , _____ )
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Example 2: Consider the function: y = –x2 + 4x – 1 Vertex: ( _____ , _____ ) Axis of Symmetry: ___________ y-intercept: ( _____ , _____ )
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Example 3: Consider the function: y = –2x2 + 4x + 6 Vertex: ( _____ , _____ ) Axis of Symmetry: ___________ y-intercept: ( _____ , _____ )
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Example 4: Consider the function: y = 2x2 – 8x + 7 Vertex: ( _____ , _____ ) Axis of Symmetry: ___________ y-intercept: ( _____ , _____ )
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HOMEWORK!! Page 638 #s 4-36 Even and #37
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