Intermediate, Take Home Test 5

Conic Sections

Name: ______________________________ Student ID: _______________________

Instructions: Print this “Take Home Test”, and solve all problems using Blank Papers. Please show your work completely, and post them in the discussion forum on Canvas befoer the due date.

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

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

3)      Identify the graph of each equation.

a)     

b)     

c)             

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

a)          

b)     

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.

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

a)     

b)     

c)     

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

8)      Solve the system of equations.  

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

a)     

b)