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Identify the graph of the equation 4x^2-25y^2=100. Then write the equation of the translated graph for T(5,-2) in general form.

Might be another case of half right=all wrong.

I left off that it's a hyperbola

(x-h)^2/a^2 - (y-k)^2/b^2 = 1
x^2/25 - y^2/4 = 1

  • Math -

    x^2/25 - y^2/4 = 1 is the correct simplification of the original hyperbola

    now according to your transformation
    T(5,-2) I will asssume that you mean that
    (x,y) ----> (x+5,y-2)
    so the original centre of (0,0) would move to (5,-2) and your new equation is

    [(x-5)^2]/25 - [(y+2)^2]/4 = 1

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