Return to Assignments Quadratic functions and graphs
Assignment 2
Given the function:
Answer the following questions:
- For which value of
does the parabola have no intersection points with the
-axis?
- Calculate the intersection point with the
-axis.
- Does the graph has a maximum or a minimum?
Solution
1. The parabola has no intersection points with the -axis, if
, so:
2. In this case in the equation of the parabola equals
and thus the intersection point with the
-axi equals
.
3. Unregarded the value of we have a parabola that opens up (because
) and thus we have a minimum.