|
3. |
y
= x2 - 6x + 8
2y + x = 4 |
A graph will quickly show the number of points of
intersection. |
| Start
with quadratic equation. |
y
= x2-6x+8
|
|
Find
the axis of symmetry. |
x
= -b/2a
x = -(-6)/2(1)
x = 6/(2)
x = 3 |
|
Make
a table, and fill in values of y. |
|
x |
y |
|
0
1
2
3
4
5
6 |
8
3
0
-1
0
3
8 |
|
|
Graph
the parabola. |
 |
|
Find
the slope and y-intercept of the line. |
2y
+ x = 4
In standard form
this is:
y = -(1/2)x + 2
slope =
-1/2
y-intercept
= 2 |
|
Graph
the line. |
y
= x2 - 6x + 8
2y + x =
4 |
|
Find
the
number
of points of intersection. |
There
are 2 points of intersection.
A graphing calculator would be helpful to find the exact
coordinates.
|
