1. P.1 – Graphs & Models You will be able to…
Sketch the graph of an equation
Find intercepts of a graph
Test a graph for symmetry
Find the points of intersection of two graphs
Interpret Mathematical models for real-life data

2. A) Graphing - Table of Values (plotting points): ex. 𝑦= 𝑥 2 −2
Intercepts:
x-intercept (y = 0) and y-intercept (x = 0)
ex. 2𝑥 −3𝑦=6 x yy -1 2 1

3. Graphing continued… Symmetry:
1) y-axis: replace x with (-x)  yields equivalent eqn.
2) x-axis: replace y with (-y)  yields equivalent eqn.
3) origin: replace x & y with (-x) & (-x) yields equivalent eqn.
Transformations:
To be discussed in P.3

4. B) Points of Intersection -
What does it mean when two graphs intersect?
ex. What does it mean that the equations
𝑦=3𝑥 −1 𝑎𝑛𝑑 𝑦= 1 2 𝑥+4 intersect at (2,5)?
To find the intersection of 2 or more graphs is called solving
a System of Equations.

5. Solving Systems Algebraically -
Ex. Solve algebraically: 𝑥 2 −𝑦=3 𝑥 −𝑦=1

6. C) Mathematical Models -
Calculus p.7 , example 6

7. Guided Practice -
Page 8 #10, 56, 58, 66 Writing Practice (Challenge) – Write the equation of a polynomial whose x-intercepts are at -4 , 3, and 8 and whose end behavior is rises to the left and decreases to the right.