|
2. |
y
= -x2 + 2x + 4
x + y = 4 |
|
| Start
with quadratic equation. |
y
= -x2 + 2x + 4
|
|
Find
the axis of symmetry. |
x
= -b/2a
x = -(2)/2(-1)
x = -2/(-2)
x = 1 |
|
Make
a table, and fill in values of y. |
|
x |
y |
|
-2
-1
0
1
2
3
4 |
-4
1
4
5
4
1
-4 |
|
|
Graph
the parabola. |
 |
|
Find
the slope and y-intercept of the line. |
x
+ y
= 4
In standard form
this is:
y = -x + 4
slope =
-1
y-intercept
= 4 |
|
Graph
the line. |
y
= -x2 + 2x + 4
x + y =
4 |
|
Find
the points of intersection. |
Solution
Set:
{(0, 4), (3, 1)}
|
