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12 December, 01:32

For each problem, find an example of an equation that would work with the following criteria

1. The two x-intercepts are 2 and 10. The y-intercept is - 12

2. The Axis of Symmetry is x = 4. The y-intercept is 28

3. The Axis of Symmetry is x = - 3. The y-intercept is 24.

4. The x-intercepts are 8 and - 4. The y-intercept is 16.

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  1. 12 December, 01:56
    0
    1. y = 0.6x² - 7.2x + 12

    2. y = x² - 8x + 28

    3. y = x² + 6x + 24

    4. y = - 0.5x² + 2x + 16

    Step-by-step explanation:

    1. The two x-intercepts are 2 and 10. The y-intercept is - 12

    A (x - 2) (x - 10)

    A (x² - 12x + 20)

    20A = 12

    A = ⅗ = 0.6

    y = 0.6x² - 7.2x + 12

    2. The Axis of Symmetry is x = 4. The y-intercept is 28

    (x - 4) ² + C

    x² - 8x + 16 + C

    16 + C = 28

    C = 12

    y = (x - 4) ² + 12

    y = x² - 8x + 28

    3. The Axis of Symmetry is x = - 3. The y-intercept is 24.

    (x + 3) ² + c

    x² + 6x + 9 + C

    9 + C = 24

    C = 15

    y = x² + 6x + 24

    4. The x-intercepts are 8 and - 4. The y-intercept is 16.

    A (x - 8) (x + 4)

    A (x² - 4x - 32)

    -32A = 16

    A = - 0.5

    y = - 0.5x² + 2x + 16
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