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Unit 1 part 2 Test Review Graphing Quadratics in Standard and Vertex Form
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Question #1a Evaluate the expression for the following values of a and b: **Don’t forget to simplify. a = - 4, b = 8
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Question #1b Evaluate the expression for the following values of a and b: **Don’t forget to simplify. a = -7, b = 112
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Question #2a Write the coordinates of the vertex in the graph. Is the vertex a minimum or maximum?
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Question #2b Write the coordinates of the vertex in the graph. Is the vertex a minimum or maximum?
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Question #3 Find f(x) = 2x 2 + 4x - 1 in vertex form Vertex (-1,-3) y = 2(x+1) - 3 y x
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Question #3 Identify the characteristics of f(x) = 2x 2 + 4x - 1 Vertex: __________________ Axis of Symmetry: _________________ Zero(s): _________________________ Domain: _________________________ Range: __________________________ Interval of Increase: ________________ Interval of Decrease: _______________ _________ Vertex: (-1, -3) Axis of Symmetry: x = -1 Zero(s): -2.25 and.25 Domain: (-∞, ∞) Range: [-3, ∞) Interval of Increase: (-1, ∞) Interval of Decrease: (-∞, -1)
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Question #4a Describe the transformation of y = (x + 1) 2 Shift to the left 1 unit
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Question #4b Describe the transformation of y = (x - 4) 2 Shift to the right 4 units
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Question #4c Describe the transformation of y = 4(x - 1) 2 - 3 Stretched, Shift to the right 1 unit, and down 3 units
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Question #5 Find f(x) = 2(x+1) 2 - 8 in standard form Vertex (-1, -8) y = 2x² + 4x - 6 y x
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Question #6 Find the axis of symmetry and vertex of y = 2x 2 – 8x + 10: Axis of Symmetry: x = 2 Vertex: ( 2, 2)
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Question #7 Write the quadratic function y = -3x 2 + 6x + 11 in vertex form. y = -3(x – 1) 2 + 14
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Question #8 Write the quadratic function y = 4(x - 2) 2 + 5 in standard form. y = 4x 2 - 16x + 21
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Study, Study, Study!! Test Next Class!
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