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Section 1.1 GRAPHS OF EQUATIONS List the graphs that you are able to draw: What properties Linear functions Quadratic functions Rational functions Radical functions Cubic functions Exponential functions do we know about each of these functions that helps us recognize them or graph them??? *Brainstorm the ways we sketch graphs Graph the following: 1.) y = 4 - 2x y = x2 - 4 Review our methods of graphing: T – chart Calculator Property recognition(formulas) Intercepts (x and y)/ finding zeros 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 point on circle (-3, -4) 2) center (2, -4) and point on circle (6, 10) 3) # 64 on page 10 Homework: Pg. 9 #’s 3, 6, 13, 15, 23, 27, 31, 35, 49, 57-69 odd, 73