Choose the correct conic section to match the equation. 16x 2 - y 2 = 16 parabola hyperbola ellipse circle

The equation 16x² - y² = 16 represents a hyperbola ⇒ 2nd answerStep-by-step explanation:The general form of the equation of a conic isAx² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E, and F are constantsTo find the type of conic that the equation represent find B² - 4AC1. B² - 4AC < 0 and the conic is exist, then it's ellipse or circle,    if A = C, (non-zero) then it is a circle, if A ≠ C, then it is an ellipse2. B² - 4AC = 0 and the conic is exist, then it's a parabola3. B² - 4AC > 0 and the conic is exist, then it's a hyperbola∵ The equation is 16x² - y² = 16- Subtract 16 from both sides∴ 16x² - y² - 16 = 0∵ Ax² + Bxy + Cy² + Dx + Ey + F = 0∴ A = 16 , B = 0 , C = -1 , D = 0 , E = 0 , F = -16∵ B² - 4AC = (0)² - 4(16)(-1)∴ B² - 4AC = 64∵ 64 > 0∵ B² - 4AC > 0∴ The conic is hyperbolaThe equation 16x² - y² = 16 represents a hyperbolaLearn more:You can learn more about hyperbola in brainly.com/question/4054269#LearnwithBrainly