Classify the Graph of the Equation as a Circle, a Parabola

Multiple Choice

Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.
$$4 x ^ { 2 } - 3 y ^ { 2 } - 5 x + 7 y + 1 = 0$$

A) ellipse
B) parabola
C) hyperbola
D) circle