Warm up 11/16
Identify the (1) conic as circle, ellipse, hyperbola, or parabola and (2) explain how
you know
Be seated before the bell rings
Agenda:
DESK
homework
Warm-up (in
your notes)
Note 10.6 Identify
Conics
Notebook
1
Table of content
30) Radical Functions
31) Radical Equations
Page
10.6 Identify Conics
1
32) Conics/ Circle
33) Ellipse
34) Parabolas
HW ;
35) Identify
Conics
p. 764;9,11,23-31odd,
Graph paper
Learning Targets for Parabolas
●10.6 I can write conic section equations in
standard form by completing the square.
10.6 Identify Conics
Conics
Standard Form
Circle
Horizontal
Ellipse
Hyperbola
Parabola
Vertical
Identify Conics
(1) Circle (2) Ellipse
(3) Hyperbola (4)parabola
Identify Conics
(1) Circle (2) Ellipse
(3) Hyperbola (4)parabola
Identify Conics
(1) Circle (2) Ellipse
(3) Hyperbola (4)parabola
Identify Conics
(1) Circle (2) Ellipse
(3) Hyperbola (4)parabola
Identify Conics
(1) Circle (2) Ellipse
(3) Hyperbola (4)parabola
Identify Conics
(1) Circle (2) Ellipse
(3) Hyperbola (4)parabola
Identify Conics
(1) Circle (2) Ellipse
(3) Hyperbola (4)parabola
General form
Ax2 + Bxy + Cy2 + Dx + Ey+ F = 0.
A, B, C, D, E, F are coefficients
I.
x2 + y2 + 10x – 6y + 18 = 0
How to Put Equations in Standard Form
1. Move constants over to the other side of the equation
(if a parabola, move the variable that isn’t squared over
too)
2. Group all the x’s together and all the y’s together with
parenthesis
3. Factor out anything that’s in front of the x2 or y2.
4. Complete the square for each. Make sure whatever you
add on the left side of the equation, you add on the
right side. (for parabolas, you only complete the square
for the squared variable)
5. (for ellipses and hyperbolas only!) Divide both sides of
the equation by the constant so that what’s left on the
right side is 1.