Identify the equation as a parabola, circle, ellipse, or hyperbola.
-$$4 x ^ { 2 } = 16 y ^ { 2 } + 64$$
A) Circle
B) Parabola
C) Hyperbola
D) Ellipse

Question

Quizplus · Accepted Answer

The equation can be rewritten in the standard form of a hyperbola by dividing all terms by 16, resulting in $x^2/4 - y^2/1 = 4$, which matches the general form of a hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$.

Identify the Equation as a Parabola, Circle, Ellipse, or Hyperbola 4x2=16y2+644 x ^ { 2 } = 16 y ^ { 2 } + 644x2=16y2+64

Identify the Equation as a Parabola, Circle, Ellipse, or Hyperbola $4 x ^ { 2 } = 16 y ^ { 2 } + 64$