Solve
Step
f(x) = -(x2 - 8x) - 6
Factor out the negative sign first
f(x) = -(x - 4)2 + 10
Vertex (4, 10)
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Solve for x: f(x) = -x2 + 8x - 6
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Solve |
Step |
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f(x) = -(x2 - 8x) - 6 |
Factor out the negative sign first |
| f(x) = -(x2 - 8x + 16 - 16) - 6 | Now complete the square inside parenthesis |
| Remove -16 from parenthesis | |
| f(x) = -(x2 - 8x + 16) + 16 - 6 | Notice sign change |
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f(x) = -(x - 4)2 + 10 |
(x - 4)2 = x2 - 8x + 16 |
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Vertex (4, 10) |
Vertex is (h,k) |
| This means the vertex is shifted 4 units right and 10 units up from the origin. | |
| *Check out completing the square for help with this step. | |
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