FP1 Ch3

Question 1

What is the Cartesian equation, the focus, the directrix equation and the vertex point of a parabola?

Answer 1

y^2=4ax

Focus (S) has coordinates (a,0)

Directrix has equation x+a=0

Vertex is at point (0,0)

Question 2

What is special about a parabola?

Answer 2

Shortest distance from directrix to curve is equal to shortest distance from that point on the curve to the focus.

Question 3

What is are the parametric equations of a rectangular hyperbola?

Answer 3

x=ct

y=c/t

Question 4

What is the Cartesian equation of a rectangular hyperbola?

Answer 4

xy=c^2

Question 5

What is a point P on the curve of a rectangular hyperbola?

Answer 5

P(x,y) or P(ct,c/t)

Question 6

What are the parametric equations for a parabola?

Answer 6

x=at^2

y=2at