8.6 Conic Sections 1 2 3 Types Standard Equation Forms Practice Problems
Types of Conic Sections Parabolas
Types of Conic Sections Circles
Types of Conic Sections Elipses
Types of Conic Sections Hyperbolas
Standard Equation Form Conic Section Standard Equation Form Parabola Circle
Standard Equation Form Conic Section Standard Equation Form Hyperbola
Standard Equation Form Conic Section Standard Equation Form Elipse
Identifying a Conic Section by Rewriting into Standard Form Isolate the terms Variables on the left of the equal sign Constants on the right of the equal sign Complete the square Factor Compare to the Standard Forms
Identifying a Conic Section by Rewriting into Standard Form Example Write the equation in standard form and identify the type of conic section it is.
Identifying Conic Sections by Analyzing Coefficients Put the equation into the form Compare A and C using the following: Conic Section Relationship of A to C Parabola A=0 or C=0, not both Circle A=C Ellipse A & C have the same sign and are not equal Hyperbola A & C have opposite signs
Identifying Conic Sections by Analyzing Coefficients Examples State whether the following equation is a parabola, hyperbola, circle or ellipse. Since A and C have opposite signs, it is a hyperbola
Identifying Conic Sections by Analyzing Coefficients Examples State whether the following equation is a parabola, hyperbola, circle or ellipse. Since A = C , it is a circle
Identifying Conic Sections by Analyzing Coefficients Examples State whether the following equation is a parabola, hyperbola, circle or ellipse. Since A and C are both positive and not equal, it is a parabola
Practice Problems Page 450 Problems 4-9, 12-29, 33-38