1. Assignment, pencil, red pen, highlighter, textbook, notebook, graphing calculator
U4D6
Have out:
Bellwork:
Write the equation in Vertex form by completing the square then sketch a graph. 2 4 6 8 10 y x –2 –4 –6 –8
–10 +2
+ 4 –8 +1 +1 +1 +2
total:

2. Take out your parent graph toolkit.
We are going to add the parent graphs for lines.

3. PARENT GRAPH TOOLKIT Name: Lines x y x y -3 -2 -1 1 23 x y10
Name:
Lines x y x y -3 -2 -1 1 23 x y 8
Parent Equation:
y = x 6 4
Description of Locator: 2
(0, 0) x
y–intercept
(0, y) –4 –2 2 4 –2
General Equation: –4
y = mx + b –6 –8
Properties:
–10
(steepness)
Domain:
Range:
{x| x  R}
{y| y  R}
b = y–intercept

4. Now onto something else…
Take out today’s worksheet

5. PG – 56
Using 3 different colors, highlight the equations that seem to be the most alike.

6. List the similar equations below by category:
cubic
reciprocal
exponential
Over the next 3 days, we will study each of these sets of functions.
Today we will look at cubic functions. Be sure to have a graphing calculator.

7. Cubic Locator point (0, 0) Group name: _______________ Functions
y = x3
(parent graph)
(0, 0)
Equation: _____
locator point: _____ 2 4 6 8 10 y x –2 –4 –6 –8
–10 x y –3 –2 –1 1 2 3
–27
Locator point
(0, 0) –8 –1 1 8 27
Link to Geo Sketch

8. Locator point (1, 0) (h, k) y = (x – 1)3 (1, 0) Equation: __________2 4 6 8 10 y x –2 –4 –6 –8
–10 x y –2 –1 1 2 3 4
–27
Locator point
(1, 0) –8 –1 1 8 27
Link to Geo Sketch

9. Locator point (2, 1) (h, k) y = (x – 2)3 + 1 (2, 1)
Equation: ____________
locator point: _____ 2 4 6 8 10 y x –2 –4 –6 –8
–10 x y –1 1 2 3 4 5
–26
Locator point
(2, 1) –7 1 2 9 28
Link to Geo Sketch

10. Locator point (-2, 0) (h, k) (–2, 0) Equation: ____________4 6 8 10 y x –2 –4 –6 –8
–10 x y –5 –4 –3 –2 –1 1
Stretch factor:
–13.5
Locator point
(-2, 0) –4
–0.5
0.5 4
13.5
Link to Geo Sketch

11. PARENT GRAPH TOOLKIT Name: Cubics x y x y -2 -1 1 2 -8 8 (2, 8)10
Name:
Cubics x y x y -2 -1 1 2 -8 8 8
(2, 8)
Parent Equation:
y = x3 6 4
Description of Locator: 2
(1, 1)
(0, 0) x
inflection point
(h, k) –4 –2 2 4
(–1, –1) –2
General Equation: –4
y = a(x – h)3 + k –6
(–2, –8) –8
Properties:
–10
flip
horizontal shift
Domain:
Range:
y = +/- a(x – h)3 + k
{x| x  R}
{y| y  R}
Wider or narrower
vertical shift

12. Based on the patterns you have observed, graph the next 4 cubics on the worksheet WITHOUT using a graphing calculator. 2 4 6 8 10 y x –2 –4 –6 –8
–10

13. Finish today's assignment:
PG & worksheets