Conic Sec)on Prac)ce
Complete the problems below. You will turn this in for a grade Please format your paper as follows: Page 1 2.A) _____________ 2.B) _____________ 2.C) _____________ 2.D) _____________ Page 2 3.A) _____________ 3.B) _____________ 3.C) _____________ 3.D) _____________ 3.E) _____________ Page 3 1.A) _____________ 1.B) _____________ 1.C) _____________ 1.D) _____________ Page 4 3.A) _____________ 3.B) _____________
Name _________________
Period ___ Date _____________
2. a) Graph the equation 9x2 + 6y2 – 36 +12y = 12.
b) Find the coordinates of the center. c) Determine the length of the major axis. d) Determine the length of the minor axis.
3. A painter used a can of spray paint to make an image. The boundary of the image is described by the equation 4x2 – 16x + y2 – 6y + 21 = 0. a) Rewrite the equation in standard form.
b) Determine the length of the major axis. c) Determine the length of the minor axis. d) Find the coordinate of the center. e) Graph the equation.
The Ares Curriculum Project, Conic Sections, Adapted from Glencoe Algebra 2, 140403_ip_elliptical, page 2 of 2
Hyperbolic Path (Independent Practice) 1. Comets or other objects that pass by Earth or the Sun only once and never return may follow hyperbolic paths. Suppose a comet’s path can be modeled by a branch of the hyperbola with equation
y2 x2 1. 225 400
a) Find the coordinates of the vertices.
b) Find the coordinates of the foci.
c) Find the equation of the asymptotes.
d) Graph the hyperbola.
The Ares Curriculum Project, Conic Sections, Adapted from Glencoe Algebra 2, 140504_ip_hyperbolic_path, page 1 of 3
3. Astronomers discover a new comet. They study its path and discover it can be modeled by a branch of a hyperbola with equation 4x2 – 40x – 25y2 = 0. a) Rewrite the equation in standard form.
b) Find the center of the hyperbola.
The Ares Curriculum Project, Conic Sections, Adapted from Glencoe Algebra 2, 140504_ip_hyperbolic_path, page 2 of 3