Intermediate, Take Home Test 5

Conic Sections

Name: ______________________________ Student ID: _______________________

Instructions: Print this “Take Home Test”, and solve all problems using Blank Papers. You must show your work completely, and bring it on the day of the final on campus test to get full credit.

1)      Given the points (-4, 2) & (2, -6), find their Distance and Midpoint.

(Solution 1)

2)      Find the radius and center of the circle and graph it.      

Solution 2)

3)      Identify the graph of each equation.

a)     

b)     

c)             

*Solution 3a

*Solution 3b

*Solution 3c

4)      Give the equation of the asymptotes and graph the hyperbolas.

a)          

b)     

Solution 4a)

Solution 4b)

5)      Given. , express the function in Standard form, find the x-intercept, the y-intercept, and the vertex.  Find the axis of symmetry and graph the function. **Solutions 5)

6)      Determine whether the graph opens up, down, left or right.

a)     

b)     

c)     

Solution 6a)

Solution 6b)

Solution 6c)

7)      Find an equation of the circle with its center at (6, -4) and radius 4. Graph the circle.

Solution 7)

8)      Solve the system of equations.  

Solution 8)

9)      Graph the ellipse by finding its center and vertices.

a)     

b)       

Solution 9a)

Solution 9b)