ACT Opener:

• Find when x= -6 and y = 3.

a) -9b) 54c) 81d) 126e) 198

Conic Sections!

Conics Sections

• A conic section is a curve formed by the intersection of a plane and a double cone. By changing the inclination of the plane, you can create a circle, a parabola, an ellipse, or a hyperbola.

Quick Review: Domain & Range

• What is domain and what is range?

• How are the related to x and y in an equation?

Quick Review: Domain & Range

• Find the domain and range of the following equation:

Example 1: Graphing a Circle

• Graph the equation Describe the graph and its lines of symmetry. Then find the domain and range.

Example 1: Graphing a Circle

• How could we graph this using our calculators?

• How would we have to manipulate the equation?

• Why is there no point on the graph with an x-coordinate of 6?

Student Check:

• Graph the Equation . Describe the graph and the lines of symmetry. Find the domain and range.

• Use your white boards.

Student Check:

• What is the shape of your graph?

• How would we manipulate the equation so that we could graph it in the calculator?

Interpreting Graphs

• Identify the center and intercepts of the conic section. Then identify the domain and range.

Student Check:

• Identify the center and intercepts of the conic section. Then identify the domain and range.

Partner Practice:

• Pair up with your partner to complete the problem set.

• Only complete the problems that have been circled.

• You will have 15 minutes to complete.

Partner Practice:

Group 1: Justin & Tristan

Group 2: Harley & Andrea

Group 3: Kelly & Jessica

Group 4: Taylor & Brando

Group 5: Samantha & Trevor

Exit Slip:1. The graph of which

equation of a circle contains only the points in the table.

X -3 0 3Y 0 0

2. Identify the domain and range of the following conic section.

a) Domain: Range:

b) Domain: Range: