**Lesson
8:**

**Creating
Conics**

**By
Carly Coffman**

**Now that we
have studied conic sections, you will come up with an equation of a conic given
some information about the conic. In
applications, many times you are given a situation and must determine what type
of conic section your data fits. So, I
hope you’re ready to show off your knowledge of conics!**

**Given
a picture of a conic, come up with the equation of the conic.**

**1) **

** **

**2)**

**3)
**

**4)
**

**Now,
you will be given a set of data in Excel.
We will go through one example and then I’ll set you free on your
own. **

**Click
on this link to see data for a dolphin’s jump. **

**(this
is not true data)**

**From the graph,
we can determine that the pattern is a parabola. So, we know the equation must be **

**When clicking
on the vertex, we can see that the coordinates are (2.5, 10) so we can
substitute these values for h and k respectively. Then, we can select another point on the
graph, (5,0) and substitute these values for x and y respectively. So we get the following equation:**

**Simplifying
we get:**

**So,
the equation for the graph above is:**

**Now
it’s your turn. Find the equation that
best fits the following sets of data.**

**(Copy
and paste each set of data and graph into your Word document)**

**Print your Word
document. You are now finished with the
Conics Unit!**