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13 April, 22:01

1. Find the vertex of the parabola whose equation is y = x^2 + 6x + 2.

2. What is the line of symmetry for the parabola whose equation is y = 3x^2 + 24x - 1?

3. What is the line of symmetry for the parabola whose equation is y = x^2 + 10x + 25?

4. Find the vertex of the parabola whose equation is y = - 2x^2 + 8x - 5.

5. What is the line of symmetry for the parabola whose equation is y = x^2 - 12x + 7?

6. Find the vertex of the parabola whose equation is y = x^2 - 4x + 6.

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  1. 13 April, 22:28
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    1. y = x^2 + 6x + 2 = x^2 + 6x + 9 - 7 = (x + 3) ^2 - 7

    The vertex of the parabola whose equation is y = x^2 + 6x + 2 is (-3, - 7).

    2. y = 3x^2 + 24x - 1 = 3 (x^2 + 8x) - 1 = 3 (x^2 + 8x + 16) - 1 - 48 = 3 (x + 4) ^2 - 49

    The line of symmetry for the parabola whose equation is y = 3x^2 + 24x - 1 is x = - 4

    3. y = x^2 + 10x + 25 = (x + 5) ^2

    The line of symmetry for the parabola whose equation is y = x^2 + 10x + 25 is x = - 5

    4. y = - 2x^2 + 8x - 5 = - 2 (x^2 - 4x) - 5 = - 2 (x^2 - 4x + 4) - 5 + 8 = - 2 (x - 2) ^2 + 3

    The vertex of the parabola whose equation is y = - 2x^2 + 8x - 5 is (2, 3).

    5. y = x^2 - 12x + 7 = x^2 - 12x + 36 - 29 = (x - 6) ^2 - 29

    The line of symmetry for the parabola whose equation is y = x^2 - 12x + 7 is x = 6

    6. y = x^2 - 4x + 6 = x^2 - 4x + 4 + 2 = (x - 2) ^2 + 2

    The vertex of the parabola whose equation is y = x^2 - 4x + 6 is (2, 2).
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