The standard form of the equation of a parabola is y = x2 + 4x + 11.What is the vertex form of the equation?
Question
Solution 1
The vertex form of a parabola's equation is given by y = a(x-h)² + k, where (h, k) is the vertex of the parabola.
To convert the standard form y = x² + 4x + 11 into vertex form, we need to complete the square for the x terms.
Here are the steps:
Group the x terms together: y = (x² + 4x) + 11.
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