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 transcript:

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 b = -6 c = ∙ 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)

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 = ∙ 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)

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 = ∙ 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)

Pages 638 – – 36 by 4s

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 (, )

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 (, )

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 (, )