Section 1.1 GRAPHS 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 = x 2 - 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 – y 2 = -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 = r 2  r = radius  (h, k) = center  What can you tell me about the equation:  x 2 + y 2 = 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