![[Maple Math]](images/vertex74.gif)
?
Questions
1. What is the significance of
a
in
?
2. Explain how to get the graph of
![[Maple Math]](images/vertex75.gif)
from the graph of
![[Maple Math]](images/vertex76.gif)
.
3. If
![[Maple Math]](images/vertex77.gif)
with a nonzero, what is the x coordinate of the vertex? What is the axis of symmetry? How do you find the y coordinate of the vertex?
4. Find the x-intercepts of
![[Maple Math]](images/vertex78.gif)
. Using either completing the square or the "short cut", find the vertex of this quadratic function. How are the x-intercepts and vertex related? Is this always true?
5. A community college of 5000 full-time students currently charges $60 per credit. College officials estimate that for each dollar they lower tuition the college gains 100 full-time students. Estimate the tuition the college should charge to maximize its revenue if a full-time student takes 12 credits.