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.