Algebra 2 Chapter 9 Practice Test a) y 

b) 4 x  y 2  20

1 2 x 12

x-intercept(s):

y-intercept(s):

x-intercept(s):

y-intercept(s):

vertex:

focus:

vertex:

focus:

directrix:

axis of symmetry:

directrix:

axis of symmetry:

c) y 

d) 𝑥 2 − 4𝑥 − 12𝑦 − 32 = 0

1 x  12  3 4

vertex:

focus:

vertex:

focus:

directrix:

axis of symmetry:

directrix:

axis of symmetry:

e) Find the length and midpoint of the line segment joining (3, 1) and (-4, 7). f) Burroughs launches the world’s largest water balloon towards Burbank High. The balloon will get everyone wet within a 6 mile radius. Arman is located at the center of Burbank High and knows the balloon is coming. He runs south for three miles and then runs an additional five miles east. What is the total distance Arman ran? Will he get wet? EXPLAIN.

g) x  3   y  2  25 2

h) 4 x 2  4 y 2  20

2

center:

radius:

center:

radius:

domain:

range:

domain:

range:

i) 3x  9  3 y  8  27 2

j) x 2  y 2  2 x  8 y  8

2

center:

radius:

center:

radius:

domain:

range:

domain:

range:

Write the equation of the conic section with the following characteristics: k) circle with the center at (1, -2) and radius 6. l) circle with center at (-5, 4) and radius of 7 m) parabola with the vertex at (2, -5) and focus at (2, -6) n) parabola with the vertex at (-1, 2) and directrix at x = -3 o) circle that has a diameter with endpoints (3, 7) and (1, -3)