Precalculus Video Quiz

Question 1

Row Operations on a Matrix

Answer 1

1. Interchange any two rows
2. Multiply entire tow by non-zero real number
3. Add one entire row to another row

Question 2

Partial Fraction and Partial Fraction Decomposition

Answer 2

1. Power of linear factors: Starts with degree 1 and use a capital letter
2. Powers of irreducible quadratic factors: Starts with 1 degree and uses a numerator in the form of Ax+B
   rref

Question 3

Linear Programming

Answer 3

Find x and y
Find constraints
Critical points (x, 0) and (0,y)
Point of intersection

Question 4

Add/Subtract/Multiply/Identity/Inverse/Determinant

Answer 4

a & d switch numbers
b & c switch signs
Determinant: ad-bc

Question 5

Parabola

Answer 5

(x-h)^2=4p(y-k)^2
(y-k)^2=4p(x-h)^2
Directrix: x=h-p
Focus: (h+p,k)

Question 6

Ellipse

Answer 6

x^2/a^2+y^2/b^2=1

Center: (h,k)
Foci: (h, k+/-c)
Vertices: (h, k/a)
a^2=b^2+c^2

Question 7

Hyperbola

Answer 7

(y-k)^2/a^2-(x-h)^2/b^2
Transverse is a
Conjugate is b

Center: (h,k)
Vertices: (h +/-a, k)
Foci: (h +/-k, c)