MATH

a. Write an equation compared to the equation of the standard parabola that satisfies the description of each parabola.

1. A parabola whose vertex is (0, -3)

2. A parabola whose vertex is (5, 1)

3. A parabola that opens down and is compressed vertically by a factor of 0.4

4. A parabola that has its vertex at (3, 5) and opens down.

5. A parabola that has its vertex at (-8, 6) and opens up, but is stretched vertically by a factor of 3, compared with the standard parabola.

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  1. #1: y = x^2-3
    #2: y = (x-5)^2+1
    #3: y = -0.4x^2
    #4: y = -(x-3)^2-5
    you get the idea... I hope

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  2. Thank you Anonymous.

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  3. To Nameless:
    In case you have not yet verified, the fourth one should read
    y = -(x-3)^2 + 5
    in order to have the vertex at (3,5).
    Suggest you post your attempt for the fifth.

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    posted by MathMate

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