We are searching data for your request:
Upon completion, a link will appear to access the found materials.
The graph of a quadratic function is a parabola. A parabola can cross the x-axis once, twice, or never. These points of intersection are called x-intercepts. Does this concept sound familiar, yet strange? Your teacher may call these points by their nicknames.
Other Terms for x-intercepts
- Zeros
- Roots
- Solutions
- Solution set
Four Methods of Finding the x-intercepts
- Quadratic Formula
- Factoring
- Completing the Square
- Graphing
A Parabola with Two X-intercepts
Use your finger to trace the green parabola. Notice that your finger touches the x-axis at (-3,0) and (4,0).
Therefore, the x-intercepts are (-3,0) and (4,0)
Be careful: the x-intercepts are not merely -3 and 4. The answer should be an ordered pair. Notice that the y-value of of these points is always 0.
A Parabola with One x-intercept
Krishnavedala/Wikimedia Commons/Creative Commons 3.0 Use your finger to trace the blue parabola. Notice that your finger touches the x-axis at (3,0).
Therefore, the x-intercept is (3,0).
Question: When a parabola has only one x-intercept, is the vertex always the x-intercept?
A Parabola Without x-intercepts
Olin/Wikimedia Commons/Creative Commons 3.0 Use your finger to trace the blue parabola. Does your finger touch the x-axis? No. Therefore, this parabola has no x-intercepts.
Interesting! Subscribed to the blog!
Completely I share your opinion. It seems to me it is good idea. I agree with you.
Remove everything that does not concern the subject.
Wonderful, very useful thought
the bright