Identify a and b for the hyperbola with equation. (y^2/b^2)-(x^2/a^2)=1

The value of (a) and (b) for the hyperbola are and 2

The equation of the hyperbola is given as:

The curve of the graph passes through points (0,2) and (-4,3).

So, we have:

and

becomes

Cross multiply

Take positive square root of both sides

becomes

Collect like terms

Cross multiply

Divide both sides by -3

Take square roots of both sides

Hence, the value of (a) and (b) for the hyperbola are and 2

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