what is the significance of the b in value of the conjugate axis?

what is the significance of the b in value of the conjugate axis?

HELP! Can someone help me here How to answer this

prove c squared = a squared + b squared in hyperbola. Cant find the proof any whwere.

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change this equation in standard form by completing the square.

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y=2x^2 y=-x^2+3

The general form of the equation of a hyperbola is (x^2)-(y^2)-14x-8y+29=0. Write the equation of this hyperbola in standard form and give the coordinates of the center, the coordinates of the...