Solve
Step
Factor out the 2 first Multiply out to verify
Vertex (1/6, -49/12)
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Solve for x: f(x) = 3x2 - x - 4
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Solve |
Step |
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Factor out the 2 first Multiply out to verify |
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Now complete the square* inside parenthesis |
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To Remove -1/36 from parenthesis, Multiply it by 3. |
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(x - 1/6)2 = x2 - (1/3)x + 1/36 |
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3(1/36) - 4 = 1/12 - 48/12 = -49/12 |
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Vertex (1/6, -49/12) |
Vertex is (h,k) |
| This means the vertex is shifted 1/6 units right and -49/12 units up from the origin. | |
| *Check out completing the square for help with this step. | |
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