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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic
Equations or Functions
in the form :
or
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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y
xxinterceptxintercept
yinterceptvertex
axis ofsymmetry
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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y
xxinterceptxintercept
yinterceptvertex
axis ofsymmetry
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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To find the ycoordinate of the vertex, substitute the xcoordinateof the vertex into the equation, and simplify.
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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EXAMPLE 1
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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To find the ycoordinate of the vertex, substitute the xcoordinate of the vertex into the equation, and simplify.
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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71
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y
3
x
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Connect the ordered pairs with
Ushaped curve.a smooth
7
71
16
y
x3
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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axis of symmetry
7
71
16
y
x3
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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EXAMPLE 2
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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To find the ycoordinate of the vertex, substitute the xcoordinate of the vertex into the equation, and simplify.
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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3
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1 2
y
x
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Connect the ordered pairs with
Ushaped curve.a smooth
43
3
5
1 2
y
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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3
5
1 2
y
axis of symmetry
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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EXAMPLE 3
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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To find the ycoordinate of the vertex, substitute the xcoordinate of the vertex into the equation, and simplify.
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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axis of symmetry
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1 2
y
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