CK-12-Pre-Calculus Concepts

9.5. Hyperbolas http://www.ck12.org Find the equation of the hyperbola that has foci at (13, 5) and (-17, 5) with asymptote slo ...

http://www.ck12.org Chapter 9. Conics Since 3, 4, 5 is a well known Pythagorean number triple it should be clear to you thata= 1 ...

9.6. Degenerate Conics http://www.ck12.org 9.6 Degenerate Conics Here you will discover what happens when a conic equation can’t ...

http://www.ck12.org Chapter 9. Conics 3 (x^2 − 4 x)+ 4 (y^2 − 2 y) =− 16 3 (x^2 − 4 x+ 4 )+ 4 (y^2 − 2 y+ 1 ) =− 16 + 12 + 4 3 ( ...

9.6. Degenerate Conics http://www.ck12.org Concept Problem Revisited When you intersect a plane with a two sided cone where the ...

http://www.ck12.org Chapter 9. Conics Practice What are the three degenerate conics? Change each equation into graphing form an ...

9.7. References http://www.ck12.org 9.7 References Image copyright DVARG, 2014, modified by CK-12 Foundation. http://www.shutte ...

http://www.ck12.org Chapter 10. Polar and Parametric Equations CHAPTER 10 Polar and Parametric Equations Chapter Outline 10.1 Po ...

10.1. Polar and Rectangular Coordinates http://www.ck12.org 10.1 Polar and Rectangular Coordinates In the rectangular coordinate ...

http://www.ck12.org Chapter 10. Polar and Parametric Equations You can also express the relationship between x,yandrusing the Py ...

10.1. Polar and Rectangular Coordinates http://www.ck12.org This is the equation of a hyperbola. Concept Problem Revisited The g ...

http://www.ck12.org Chapter 10. Polar and Parametric Equations Simplify the polar equation first before converting to rectangul ...

10.1. Polar and Rectangular Coordinates http://www.ck12.org 5.( 2 , 60 ◦) 6.( 5 , 330 ◦) 7.( 2 , 210 ◦) Graph each equation. 8.r ...

http://www.ck12.org Chapter 10. Polar and Parametric Equations 10.2 Polar Equations of Conics Here you will find equations and g ...

10.2. Polar Equations of Conics http://www.ck12.org There are other ways of representing a circle like this using cofunction ide ...

http://www.ck12.org Chapter 10. Polar and Parametric Equations Solution: The circle in blue has a center at 90◦and has a diamete ...

10.2. Polar Equations of Conics http://www.ck12.org 4 =c−a 2 c 5 4 = c a→ 4 5 = a c→ 4 c 5 =a 4 =c− ( 4 c 5 ) 2 ·^1 c 4 =c−^16 c ...

http://www.ck12.org Chapter 10. Polar and Parametric Equations When you go to the window setting you should notice that in addit ...

10.2. Polar Equations of Conics http://www.ck12.org r= 2 −^3 cosθ r( 2 −cosθ) = 3 2 r−r·cosθ= 3 2 r= 3 +r·cosθ= 3 +y 4 r^2 = 9 + ...

http://www.ck12.org Chapter 10. Polar and Parametric Equations (x− 3 )^2 +(y+ 4 )^2 = 25 x^2 − 6 x+ 9 +y^2 + 8 y+ 16 = 25 r^2 − ...