Final Answer:
1) $ y = \frac{1}{2}(x+4)(x-2) $
x-intercepts: $ x = -4 $, $ x = 2 $
y-intercept: $ y = -4 $
Axis of Symmetry: $ x = -1 $
Vertex: $ (-1, -4.5) $
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2) $ y = -\frac{1}{3}(x-6)(x+3) $
x-intercepts: $ x = 6 $, $ x = -3 $
y-intercept: $ y = 6 $
Axis of Symmetry: $ x = 1.5 $
Vertex: $ (1.5, 6.75) $
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3) $ y = (x+2)(x-4) $
x-intercepts: $ x = -2 $, $ x = 4 $
y-intercept: $ y = -8 $
Axis of Symmetry: $ x = 1 $
Vertex: $ (1, -9) $
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4) $ y = -\frac{1}{4}(x+1)(x-5) $
x-intercepts: $ x = -1 $, $ x = 5 $
y-intercept: $ y = \frac{5}{4} $
Axis of Symmetry: $ x = 2 $
Vertex: $ (2, \frac{9}{4}) $
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5) $ y = 4(x+2)(x+1) $
x-intercepts: $ x = -2 $, $ x = -1 $
y-intercept: $ y = 8 $
Axis of Symmetry: $ x = -1.5 $
Vertex: $ (-1.5, -1) $
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6) $ y = -(x-3)(x-2) $
x-intercepts: $ x = 3 $, $ x = 2 $
y-intercept: $ y = -6 $
Axis of Symmetry: $ x = 2.5 $
Vertex: $ (2.5, 0.25) $
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Parent Tip: Review the logic above to help your child master the concept of graphing quadratic functions in vertex form worksheet.