Solve
Step
f(x) = x2 + 4x + 6
Complete the square *
Vertex (-2, -2)
This means the vertex is shifted 4 units left and 2 units down from the origin. (0,0)
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Solve for x: f(x) = x2 + 4x + 6
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Solve |
Step |
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f(x) = x2 + 4x + 6 |
Complete the square * |
| f(x) = x2 + 4x + 4 - 4 + 6 | Take half of 4 and square it 22 = 4 |
| f(x) = (x + 2)2 - 2 | (x + 2)2 = x2 + 4x + 4 |
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Vertex (-2, -2) |
Vertex is (h,k) |
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This means the vertex is shifted 4 units left and 2 units down from the origin. (0,0) |
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