7.1-7.3

Question 1

Standard form of Parabolas

Answer 1

(x-h)^2 = 4p(y-k) up/down
(y-k)^2 = 4p(x-h) left/right

Question 2

Elements of a Parabola

Answer 2

Vertex - (h,k)
Focus - (h,k+p) or (h+p,k)
Directrix - y = k-p or x = h-p

Question 3

Standard form of Ellipses

Answer 3

(x-h)^2 (y-k)^2
——— + ——— = 1
a^2 b^2

(x-h)^2 (y-k)^2
——— + ——— = 1
b^2 a^2

Question 4

Elements of Ellipses

Answer 4

Center - (h,k)
Foci - (h+-c,k) or (h,k+-c)
Vertices - (h+-a,k) (h,k+-a)
Co Vertices - (h+-b,k) (h,k+-b)
a,b,c relationship c^2 = a^2 - b^2

Question 5

Standard form of Hyperbolas

Answer 5

(x-h)^2 (y-k)^2
——— - ——— = 1
a^2 b^2

(y-k)^2 (x-h)^2
——— - ——— = 1
a^2 b^2

Question 6

Elements of Hyperbolas

Answer 6

Center - (h,k)
Foci - (h+-c,k) or (h,k+-c)
Vertices - (h+-a,k) (h,k+-a)
Asymptote - y-k = +- b/a (x-h)
a,b,c relationship c^2 = a^2 + b^2

Question 7

General form

Answer 7

Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0

Question 8

Which graph based on general form

Answer 8

A=C Circle
AC=0 Parabola
AC>0 Ellipse
AC<0 Hyperbola