How To Turn Standard Form Into Vertex Form?

Start with standard form: (y = ax^2 + bx + c)

Factor out (a) from the (x^2) and (x) terms if (a neq 1)

Complete the square inside the parentheses

Add and subtract the same value inside the expression to keep it balanced

Rewrite the trinomial as a perfect square

Simplify to get vertex form: (y = a(x – h)^2 + k)

Identify the vertex as ((h, k))

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