1) Given the conic ( + 5)

2 + ( 3)2 = 16 , complete the following:

a) Graph the conic above ( b) if the conic has now been vertically stretched around the center of the circle, to span twice

the distance, determine the new equation, in standard form, of the conic after the transformation.

Graph the new conic above and clearly label. (6 marks)

i. What is the length of the major axis of the new conic?

ii. What is the length of the minor axis of the new conic?

iii. Would you describe this conic as a parabola, circle, ellipse or hyperbola?

iv. Has the center of the conic changed? If so, provide the new center point.

c) The conic in part "a" has now been horizontally stretched around the center of the circle, to span

three times the distance, determine the new equation, in standard form, of the conic after the

transformation. Graph the new conic above and clearly label. (6 marks)

i. What is the length of the major axis of the new conic?

ii. What is the length of the minor axis of the new conic?

iii. Would you describe this conic as a parabola, circle, ellipse or hyperbola?

v. Has the center of the conic changed? If so, provide the new center point.