| Lines
Part 1 |
| y
= mx
+ b |
|
Enter m
= 1, b = 0
gives
y = 1x + 0 or y = x
m =
slope b
= y intercept i.e. (0, b)
|
Click Graph, then Click Store.
Use this graph to compare |
|
1 . Enter m
= 1, b =
-2 |
| Predict
which way the graph will SHIFT? |
|
|
| Now click Graph. |
|
2. Enter m
= 1, b =
2
|
| Predict
which way the graph will SHIFT? |
|
|
| Now click Graph. |
|
3. Enter m
= 1, b =
-3/2
|
| Predict
which way the graph will SHIFT? |
|
|
| Now click Graph. |
| Linear
Part 2 |
| y
= mx
+ b |
|
Enter m
= 1, b = 0
gives
y = 1x + 0 or y = x
m =
slope b
= y intercept i.e. (0, b)
|
Click Graph, then Click Store.
Use this graph to compare |
|
1 . Enter m
= 1, b = 2/5 |
| Predict
which way the graph will SHIFT? |
|
|
| Now click Graph. |
|
2. Enter m
= 1, b = -8 (change
window to fit)
|
| Predict
which way the graph will SHIFT? |
|
|
| Now click Graph. |
|
3. Enter m
= 1, b = 9 (change
window to fit)
|
| Predict
which way the graph will SHIFT? |
|
|
| Now click Graph. |
| Lines
Quick Quiz |
| Without
graphing predict which way the graph will shift from y = x |
|
1. y
= x + 3 |
| Predict
which way the graph will SHIFT? |
|
|
| Verify
with grapher |
|
2. y
= x - 3 |
| Predict
which way the graph will SHIFT? |
|
|
| Verify
with grapher |
|
3. y
= x - 2/3 |
| Predict
which way the graph will SHIFT? |
|
|
| Verify
with grapher |
|
4. y
= x + 5/4 |
| Predict
which way the graph will SHIFT? |
|
|
| Verify
with grapher |
| Linear
Part 3 |
| y
= mx
+ b |
|
Enter m
= 1, b = 0
gives
y = 1x + 0 or y = x
m =
slope b
= y intercept i.e. (0, b)
|
Click Graph, then Click Store.
Use this graph to compare
- Increases
means the line rises from left to right (positive
slope)
- Decreases
means the line falls from left to right (negative
slope)
|
|
1 . Enter m
= 2/3 b =
0 |
| Predict
which way the graph will CHANGE? |
|
|
| Now click Graph. |
|
2. Enter m
= 2, b =
0
|
| Predict
which way the graph will CHANGE? |
|
|
| Now click Graph. |
|
3. Enter m
= -8, b =
0
|
| Predict
which way the graph will CHANGE? |
|
|
| Now click Graph. |
|
4. Enter m
= 1/10, b =
0
|
| Predict
which way the graph will CHANGE? |
|
|
| Now click Graph. |
|
5. Enter m
= 0, b =
0 (try b=1,-2, 1/2)
|
| Predict
which way the graph will CHANGE? |
|
|
| Now click Graph. |
| Lines
Altogether |
| Predict
the following shifting, then verify using grapher. |
| y
= 2x - 3 |
| y
= -2x - 4 |
| y
= (1/4) + 1 |
| y
= 2 (HINT: m = 0) |
| y
= 25x =3 |
| |