Question

1. graph the hyperbola $\frac{y^2}{16} - \frac{x^2}{9} = 1$ what are the y- intercepts?

options: ±3, ±4, ±9, ±16

Explanation:

Step1: Set $x=0$ for y-intercepts

$\frac{y^2}{16} - \frac{0^2}{9} = 1$

Step2: Simplify the equation

$\frac{y^2}{16} = 1$

Step3: Solve for $y^2$

$y^2 = 16$

Step4: Find $y$ values

$y = \pm\sqrt{16} = \pm 4$

Answer:

B. $\pm 4$