Keyword Analysis & Research: standard form to vertex form

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Frequently Asked Questions

How do you find the vertex of a standard form?

The vertex form of a parabola's equation is generally expressed as : y=a(x−h)2+k (h,k) is the vertex If a is positive then the parabola opens upwards like a regular "U". (same as standard form) If a is negative, then the graph opens downwards like an upside down "U".(same as standard form) If |a| < 1, the graph of the parabola widens.

How do you write in vertex form?

Move the constant on the left-hand side of the equation back over to the right by adding or subtracting it. In the example, subtract 18 from both sides, producing y = 2(x + 2)^2 - 18. The equation is now in vertex form. In y = 2(x + 2)^2 - 18, h = -2 and k = -18, so the vertex is (-2, -18).

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