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Graphing Factored form again...
Y = 6x^2 - 20x - 16
1. Factor
Y = 6x^2 - 20x - 16
Y = 2(3x^2 - 10x - 8)
Y = 2(3x + 2) (x-4)
2. Set y=0 to find x-intercepts
Y = 0
Y = 2(3x + 2) (x-4)
0 = 2(3x + 2) (x-4)
0 = x - 4
4 = 0 - 4 + 4
4 = 0
0 = 3x + 2
-2 = 3x +2 - 2
-2 = 3x
3 3
2 = x or -0.67
3
x-intercepts: (-0.67, 0) (4, 0)
3. Axis of symmetry
Y = 2(3x + 2) (x-4)
X= 1.68
Y = 2(3(1.68) + 2) (1.68 - 4)
Y = 2(7.04) (-2.32)
y = -32.7
4. Optimal value
Graphing
X -axis
Y -axis
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