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to solve by graphing - mrs. nelsonwarm up activity factor the following. 1. 3x2 - 6x 2. x2 +7x + 12...

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  • To Solve by Graphing - Mrs. NelsonWarm up Activity Factor the following. 1. 3x2 - 6x 2. x2 +7x + 12 3. x2 - 25 6 2 Solving Quadratic Equations by Graphing •interpret solutions given
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Warmup Activity Factor the following. 1. 3x 2 - 6x 2. x 2 +7x + 12 3. x 2 - 25 62 Solving Quadratic Equations by Graphing • interpret solutions given graphs of quadratics • find solutions to quadratics by graphing previous assignment: Page 291 1426 evens, (graph 16, 20, 24 ONLY) 32 42 evens quadratic equation: when a quadratic function is set equal to some value it becomes a quadratic equation. y = ax 2 + bx + c becomes 0 = ax 2 + bx + c • if y=0, this represents the xintercepts of the function. • xintercepts are known as the zeros of the function/graph. • the solutions to a function are referred to as roots. • one method in finding the solutions/roots is by finding itszeros. solutions xintercepts roots zeros confused???

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  • Warmup ActivityFactor the following.

    1. 3x2 - 6x 2. x2 +7x + 12

    3. x2 - 25

    62 Solving Quadratic Equationsby Graphing• interpret solutions given graphs of quadratics• find solutions to quadratics by graphing

    previous assignment:Page 291 1426 evens,

    (graph 16, 20, 24 ONLY)32  42 evens

    quadratic equation: when a quadratic function is set equal to some value it becomes a quadratic equation.

    y = ax2 + bx + c becomes 0 = ax2 + bx + c

    • if y = 0, this represents the xintercepts of the function.• xintercepts are known as the zeros of the function/graph.• the solutions to a function are referred to as roots.• one method in finding the solutions/roots is by finding its zeros.

    solutions 

    xintercepts

    roots  zerosconfused???

  • To Solve by Graphing• graph the related function f(x) = ax2 + bx + c.• identify the zeros of the graph, if any.• check your solutions with original equation ax2 + bx + c = 0 .

    Examples: Solve each quadratic equation by graphing.

    1. x2  3x  4 = 0 X Y

    6 5 4 3 2 1 0 1 2 3 4 5 6

    6

    5

    4

    3

    2

    1

    1

    2

    3

    4

    5

    6

    x

    y

  • Examples: Solve each quadratic equation by graphing.

    2. x2  4x = 4 X Y

    6 5 4 3 2 1 0 1 2 3 4 5 6

    6

    5

    4

    3

    2

    1

    1

    2

    3

    4

    5

    6

    x

    y

    Examples: Solve each quadratic equation by graphing.

    3. x2  4x + 5 = 0 X Y

    0 1 2 3

    25

    20

    15

    10

    5

    5

    10

    x

    y

  • 6 5 4 3 2 1 0 1 2 3 4

    80

    60

    40

    20

    20

    40

    60

    80

    x

    ydetermine the solutions.

    Page 297, 2981419 all

    2036 by 4's

  • Attachments

    61 HW.notebook

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    Nov 16-2:28 PM Page 291 14-26 evens, (graph 16, 20, 24 ONLY) 32 - 42 evens

    page1.svg

    Nov 16-2:37 PM Page 291 14-26 evens, (graph 16, 20, 24 ONLY) 32 - 42 evens

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    Nov 16-2:41 PM

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    Nov 16-2:38 PM

    SMART Notebook

    Page 1Page 2Page 3Page 4Page 5Attachments Page 1


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