Question

Identify the graph of the equation. What is the angle of rotation for the equation?

y2 + 8x - 0
a hyperbola, 30°
b. parabola; 90°
c.hyperbola; 180°
d. parabola, 0°

Answer 1

d. parabola, 0°

Explanation:

y² + 8x - 0

y² = -8x

Where x = cos t , y = sin t

Sin² t = -8 Cos t

1 - Cos² t = -8 Cos t

- Cos² t + 8 Cos t + 1 = 0

t = 2лπ ± (3 + √10) , л∈Z

Angle of rotation