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

Question

Quizplus · Accepted Answer

The equation $4x^2 + 16y^2 = 64$ can be rewritten as $\frac{x^2}{4} + \frac{y^2}{4} = 1$, which is the standard form of an ellipse, $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, where $a$ and $b$ are the radii of the ellipse along the x-axis and y-axis, respectively.

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 $4 x ^ { 2 } + 16 y ^ { 2 } = 64$