Which of the following is the equation of a hyperbola?Question 4Select one:a.b.c.d.

To identify the equation of a hyperbola, we need to recognize its standard form. The standard forms of a hyperbola's equation are:

1. $\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1$ (for hyperbolas that open left and right)
2. $\frac{(y-k)^2}{a^2} - \frac{(x-h)^2}{b^2} = 1$ (for hyperbolas that open up and down)

Steps to Identify the Equation

1. Check for the structure:

   • Look for an equation that has a difference (subtraction) between two squared terms set equal to 1.

2. Identify the variables and constants:

   • Identify whether the squared terms involve $x$ and $y$ and check for the constants $a^2$ and $b^2$.

Once you apply these criteria to the options provided (a, b, c, d), you can identify which one fits the form of a hyperbola.

Since the specific options (a, b, c, d) are not provided here, please examine each of the candidates according to the criteria mentioned above.

Final Answer

Select the equation that conforms to one of the standard forms mentioned above.