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

Question

Quizplus · Accepted Answer

This equation can be rewritten as $4x^2 - 4y^2 = 16$, which simplifies to $x^2 - y^2 = 4$. This is the standard form of a hyperbola equation, $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$, indicating that the given equation represents a hyperbola.

Identify the Equation as a Parabola, Circle, Ellipse, or Hyperbola 4x2=4y2+164 x ^ { 2 } = 4 y ^ { 2 } + 164x2=4y2+16

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