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Quadratic Equations, Vertex and Axis, Symmetry, Graph of the Function, Domain, Range of the Function, Function is Increasing, Decreasing, Without Graphing, Maximum Value are the key points of this lecture.
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-10 -5 5 10 x
y 40
20
-10 -5 5 10 x
y 40
20
-10 -5 5 10 x
y 40
20
-10 -5 5 10 x
y 40
20
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
; x = - 1 10
-10 -5 5 10 x
y 40
20
-10 -5 5 10 x
y 40
20
-10 -5 5 10 x
y 40
20
-10 -5 5 10 x
y 40
20
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
domain: all real numbers range: {y|y ≥ - 16}
domain: all real numbers range: {y|y ≥ 0}
domain: all real numbers range: {y|y ≤ 9}
increasing on (-6, ∞) decreasing on (-∞, - 6)
increasing on (4, ∞) decreasing on (-∞, 4)
increasing on (-∞, 3) decreasing on (3, ∞)
minimum; 2
minimum; 0
minimum; - (^374)
maximum; 1 2
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