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What kind of coat can be put on only when wet?

4.2 Quadratic Reltions. What kind of coat can be put on only when wet?. A coat of paint. INVESTIGATION. Make a table of values for each relation, using integer values of x from -3 to +3. y = x² b) y = 2x² c) y = x² +2x + 3 d) y = -x² e) y = -0.5x² + 3

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What kind of coat can be put on only when wet?

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  1. 4.2 Quadratic Reltions What kind of coat can be put on only when wet? A coat of paint.

  2. INVESTIGATION • Make a table of values for each relation, using integer values of x from -3 to +3. • y = x² b) y = 2x² c) y = x² +2x + 3 d) y = -x² e) y = -0.5x² + 3 • Calculate the first and second differences for each relation. • Graph all the relations on the same set of axes by plotting each set of ordered pairs and draw a smooth curve each in its own colour.

  3. REFLECT • What is true about the first difference for a quadratic relations? • What is true about the second differences for a quadratic relation? • Describe the graphs you created in as many ways as you can. What is similar about the graphs? What is different?

  4. DEFINITIONS • Quadratic Relation • A relation whose equation is in the form y=ax2+bx+c, where a, b, and c are real numbers and a ≠ 0 • Parabola • The graph of a quadratic relation, which is U-shaped and symmetrical Find a partner!

  5. VERTEX • The point on a parabola where the curve changes direction • Q: Identify the vertex of each relation on your graph. • The vertex is a MAXIMUM point if the parabola opens down • The MINIMUM point if the parabola opens up • Q: Identify whether the vertex on each of your graphs are a maximum or a minimum.

  6. AXIS OF SYMMETRY • The line that divides a figure into two congruent parts • The axis of symmetry of a parabola crosses through the vertex. Q: Draw the axis of symmetry for each relation that you have drawn on your graph.

  7. I will never remember how to do all this. It’s a good thing there is some homework to practice Homework pg. 254 # 2, 4, 5 pg. 267 # 1 - 4

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