1 Solutions • Graph using a graphing calculator. • Use TI APP ...

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Graph using a graphing calculator. • Use TI APP: Conics if possible. Set mode to func and man. • Sketch the graph. Show the graphing window. • Describe the ...
1 Algebra II: Strand 7. Conic Sections; Topic 3. Graphing Conics; Task 7.3.3

TASK 7.3.3: CHANGING PARAMETERS Solutions • Graph using a graphing calculator. • Use TI APP: Conics if possible. Set mode to func and man • Sketch the graph. Show the graphing window. • Describe the set of x-values and y-values that belong to the relationship. • Describe the effects of changing the constants in the equations. h and k translate the conic to a new center. Changing a and b changes the shape of the conic. Students should frame their conclusions for the conic assigned.

(

)

2

(

Set 1: Circles a 2 x ! h + a 2 y ! k

)

2

= r2

h and k translate the circle to the center (h, k). The radius is

r2 a2 2

( x ! h) + ( y ! k ) Set 2: Ellipses a2

2

=1

b2

h and k translate the ellipse to the center (h, k), move the foci to (h+c, k) and (h-c, k) if a>b or (h, k+c) and (h, k-c) if ab major axis is horizontal with length 2a; minor axis is vertical with length 2b a