Section 1.1GRAPHS OF EQUATIONS

List the graphs that you are able to draw:

Linear functions Quadratic functions Rational functions Radical functions Cubic functions Exponential functions

*Brainstorm the ways we sketch graphs

What properties do we know about each of these functions that helps us recognize them or graph them???

Review our methods of graphing:

T – chart Calculator Property recognition(formulas) Intercepts (x and y)/ finding zeros

Graph the following: 1.) y = 4 - 2x y = x2 - 4

What does it mean to be symmetric?

Symmetric to the x axis: when (x, y) and (x, -y) are on same graph

Symmetric to the y axis: when (x, y) and (-x, y) are on the same graph

Symmetric to the origin: when (x, y) and (-x, -y) are on the same graph

GRAPHS ON PAGE 5 IF YOU WOULD LIKE A VISUAL REFERENCE

How do you test for symmetry?

Symmetric w/respect to the x axis when replacing y with –y yields an equivalent equation

Symmetric w/respect to the y axis when replacing x with –x yields an equivalent equation

Symmetric w/respect to the origin when replacing x with –x and y with –y yields an equivalent equation.

Let’s use symmetry to help us graph… x – y2 = -4

Symmetry test…

Let’s try #’s 24, 26 on page 9

What does the graph of this equation look like?

(x – h)2 + (y – k) 2 = r2

r = radius (h, k) = center

What can you tell me about the equation:

x2 + y2 = 4

Writing/Finding equations of circles… 1) center (1, -2) and radius 20

2) center (2, -4) and point on circle (6, 10)

3) # 64 on page 10

Homework:

Pg. 9 #’s 13, 15, 23, 27, 31, 57, 59, 63, 67, 69, 73