Chapter 9 Coordinate Graphs Flashcards
What is the equation of a parabola that opens up or down
Focus
Directrix
(X-h) ^2 = 4p(y-k)
Focus: (h, k+p)
Directrix : y=k-p
How do you complete the square
Coefficient term has to equal 1 Put constant on other side Take half of b value and then square it Add to both sides Write quantity ( x +_ 1/2 b) ^2 Solve for x
What is the equation of a parabola that opens side to side
Focus
Directrix
( y - k ) ^2 = 4p ( x - h )
Focus: ( h + p, k )
Directrix : x = h - p
What is the p value if the parabola opens up or to the right
P is greater than 0
What is the p value if the parabola opens down or to the left
P is less than 0
What is the major axis of symmetry for an ellipse
Longest segment of ellipse
2a units
What is the minor axis of symmetry for an ellipse
Shorter segment
2b units long
What is the semi major axis of an ellipse
A
What is the semi minor axis of an ellipse
B
What is the equation used to find the distance from the center of the ellipse to the focus point or c value
a^2 = b^2 + c^2
What is the equation of an ellipse
( x - h ) ^ 2 ( y - k ) ^ 2
———— + ———— = 1
a^2 b^2
A value is always under value parallel to axis
What value is always bigger for an ellipse
A value
What is the transverse axis of a hyperbola
2 a units long
What is the conjugate axis of a hyperbola
2 b units long
What is the equation used to find the distance from the center to the foci
a^2 + b^2 = c^2
