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Graphing quadratic functions part 2. X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3.

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Presentation on theme: "Graphing quadratic functions part 2. X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3."— Presentation transcript:

1 Graphing quadratic functions part 2

2 X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3 b = -6 c = 2 --6 2 ∙3 6666 The x coordinate of the vertex is at 1 Substitute to find the y value The vertex is at (1, -1) The axis of symmetry is at x = 1 This graph has a minimum value at (1, -1)

3 X Y I y = 3x² - 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3 b = 0 c = -2 -0 2 ∙ 3 0606 The x coordinate of the vertex is at 0 Substitute to find the y value The vertex is at (0, -2) The axis of symmetry is at x = 0 This graph has a minimum value at (0, -2)

4 X Y I y = -2x² - x + 10 You have to find the vertex before you can graph this function Use the formula -b 2a a = -2 b = -1 c = 10 - -1 2 ∙ -2 1 -4 The x coordinate of the vertex is at -¼ Substitute to find the y value The vertex is at (-¼, 10⅛) The axis of symmetry is at x = -¼ This graph has a maximum value at (-¼, 10⅛)

5 Pages 638 – 639 4 – 36 by 4s

6 X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = b = c = - 2 ∙ The x coordinate of the vertex is at Substitute to find the y value The vertex is at (, ) The axis of symmetry is at x = This graph has a minimum value at (, )

7 X Y I y = 3x² - 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = b = c = - 2 ∙ The x coordinate of the vertex is at Substitute to find the y value The vertex is at (, ) The axis of symmetry is at x = This graph has a minimum value at (, )

8 X Y I y = -2x² - x + 10 You have to find the vertex before you can graph this function Use the formula -b 2a a = b = c = - 2 ∙ The x coordinate of the vertex is at Substitute to find the y value The vertex is at (, ) The axis of symmetry is at x = This graph has a maximum value at (, )


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