The standard form of the equation of a parabola is y = 2x2 + 16x + 17.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 = 2x² + 16x + 17 to vertex form, we complete the square for the x terms.
First, factor out the coefficient of x² from the first two terms:
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