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Section 1.1

Section 1.1. GRAPHS OF EQUATIONS. List the graphs that you are able to draw:. What properties do we know about each of these functions that helps us recognize them or graph them???. Linear functions Quadratic functions Rational functions Radical functions Cubic functions

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Section 1.1

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  1. Section 1.1 GRAPHS OF EQUATIONS

  2. List the graphs that you are able to draw: What properties do we know about each of these functions that helps us recognize them or graph them??? • Linear functions • Quadratic functions • Rational functions • Radical functions • Cubic functions • Exponential functions *Brainstorm the ways we sketch graphs

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

  4. Review our methods of graphing: • T – chart • Calculator • Property recognition(formulas) • Intercepts (x and y)/ finding zeros

  5. 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

  6. 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.

  7. Let’s use symmetry to help us graph… x – y2 = -4 • Symmetry test… Let’s try #’s 24, 26 on page 9

  8. 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

  9. 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

  10. Homework: • Pg. 9 #’s 3, 6, 13, 15, 23, 27, 31, 35, 49, 57-69 odd, 73

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