## Detailed description

- y squared = 4ax, parabola, axis of symmetry the x-axis, turning point at (0,0)
- (x squared over a squared) + (y squared over b squared) = 1, ellipse, centre the origin, y-intercepts at b and −b, and x-intercepts at a and −a.
- (x squared over a squared) − (y squared over b squared) = 1, hyperbola, x-intercepts at a and −a.
- x squared + y squared = a squared, circle, centre the origin and radius a.