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