1. M3CSD7 Have out: Bellwork:
red pen, highlighter, notebook, calculator, ruler
M3CSD7
Have out:
Graph the hyperbola. Identify the vertices, foci, and equations of the asymptotes.
Bellwork:
+2 box and asymptotes
total:
+2 hyperbola
–10 x y 10
Center:
(2, –1)
Be careful when you write the center. Look VERY carefully at the equation.
c2 = a2 + b2 +1
a = 5 +1
c2 = +1
c2 = 74
b = 7 +1 +1 +1
c =
8.60 +1
c ≈ 8.60
foci:
(2, –1±8.60) +1 +1
(2, –9.60)
and
(2, 7.60) +2 +1
vertices:
(2, –6)
and
(2, 4) +2 +2
asymptotes: +1

2. Take out the worksheet Characteristics of Conic Sections
From this point on, you will write and graph conic sections equations without being told the type of equation you are working with.
Here are some characteristics to help you distinguish between types of conics based on the equations:
Only y and x2… or… only x and y2
Parabola: ____________________________________________
x2 and y2, and they have the same, positive coefficients
Circle: _______________________________________________
x2 and y2, and they have different, but positive coefficients
Ellipse: ______________________________________________
x2 and y2, and they have different signs (+/–)
Hyperbola: ____________________________________________
Helpful hint: Whenever you are going to classify conic equations, be sure to have all the variables (especially x2 and y2) on the same side of the equation.

3. I. Without writing the equation in standard form, state whether the graph of each equation is a parabola, circle, ellipse, or hyperbola. 1) 2)
circle
parabola 3) 4)
hyperbola
ellipse 5) 6)
hyperbola
circle 7) 8)
ellipse
ellipse 9)
10)
parabola
hyperbola
11)
12)
ellipse
circle

4. II. Write each equation in standard form
II. Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. 1)
parabola
+ 4
– 4

5. II. Write each equation in standard form
II. Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. 2)
hyperbola 9
+ 2x
+ 1 –4
– 4y
+ 4 9
–16 36 36 36

6. Complete today’s worksheets.

7. When you finish, continue working on today’s assignment.
Quiz time!!
It’s…
Clear your desk except for a pencil, ruler, highlighter, and calculator.
When you finish, continue working on today’s assignment.

8. We are going to grade the Quiz.
Clear your desk except for a red pen.
We are going to grade the Quiz.