MS 100 Quiz Five Name:

1. For :

a. Find the y-intercept.

b. Find the x-intercept(s).

c. Find the vertical asymptote(s).

d. Find the horizontal asymptote.

2. What is the name of the shape of ?

3. What is the name of the shape formed the points in the graph on the right:

4a. Use the formula

to find the vertex (h, k) for y = −x² − 3x + 18

b. Use the formula (h, k+p) where to find the focus for y = −x² − 3x + 18.

c. Using the above information along with the x-intercepts and y-intercept for y = −x² − 3x + 18, sketch a reasonably accurate graph of y = −x² − 3x + 18 on the back of this paper including the x-intercepts, y-intercept, vertex, and focus. Label the x-intercepts, y-intercept, vertex, and focus on your graph.

d. Name a physical system that produces this shape.