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Math Help - Equation of a parabola

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    Equation of a parabola

    Determine the equation of the parabola that opens downward from (1,-3) and is congruent to y=2(x-4)2.
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    Quote Originally Posted by xxlvh View Post
    Determine the equation of the parabola that opens downward from (1,-3) and is congruent to y=2(x-4)2.
    What does "congruent" mean in this context?

    Do you mean this: y=2(x-4)^2
    or this: y=2(x-4)+2
    or something else?

    I'll GUESS that it's this: y=2(x-4)^2

    This suggests a parabola oppening up and vertex at (4,0).

    A "congruent" parabola, then, with the other requirements, might be y=-2(x-1)^2 - 3

    Really, it goes straight to the heart of understanding the form of the equation. There isn't anything magic or calculation-intensive about it.
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